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343330130413020 = 22357121453781229
BaseRepresentation
bin100111000010000011100011…
…0011101101100010111011100
31200000122001002002202110202210
41032010013012131230113130
5330000110101341204040
63214111403504320420
7132213532456153152
oct11604070635542734
91600561062673683
10343330130413020
119a439544024853
123260b81a013110
1311975b7a72491a
1460ad3a48213d2
1529a5c10768480
hex13841c676c5dc

343330130413020 has 144 divisors (see below), whose sum is σ = 975727158245280. Its totient is φ = 90202959813120.

The previous prime is 343330130413019. The next prime is 343330130413111. The reversal of 343330130413020 is 20314031033343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439083766 + ... + 439864994.

It is an arithmetic number, because the mean of its divisors is an integer number (6775883043370).

Almost surely, 2343330130413020 is an apocalyptic number.

343330130413020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343330130413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487863579122640).

343330130413020 is an abundant number, since it is smaller than the sum of its proper divisors (632397027832260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343330130413020 is a wasteful number, since it uses less digits than its factorization.

343330130413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782836 (or 782763 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 343330130413020 its reverse (20314031033343), we get a palindrome (363644161446363).

The spelling of 343330130413020 in words is "three hundred forty-three trillion, three hundred thirty billion, one hundred thirty million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 1453 2130 2906 4260 4359 5041 5812 7265 8718 10082 14530 15123 17436 20164 21795 25205 29060 30246 43590 50410 60492 75615 87180 100820 103163 151230 206326 302460 309489 412652 515815 618978 781229 1031630 1237956 1547445 1562458 2063260 2343687 3094890 3124916 3906145 4687374 6189780 7324573 7812290 9374748 11718435 14649146 15624580 21973719 23436870 29298292 36622865 43947438 46873740 55467259 73245730 87894876 109868595 110934518 146491460 166401777 219737190 221869036 277336295 332803554 439474380 554672590 665607108 832008885 1109345180 1135125737 1664017770 2270251474 3328035540 3405377211 3938175389 4540502948 5675628685 6810754422 7876350778 11351257370 11814526167 13621508844 15752701556 17026886055 19690876945 22702514740 23629052334 34053772110 39381753890 47258104668 59072630835 68107544220 78763507780 80593927327 118145261670 161187854654 236290523340 241781781981 322375709308 402969636635 483563563962 805939273270 967127127924 1208908909905 1611878546540 2417817819810 4835635639620 5722168840217 11444337680434 17166506520651 22888675360868 28610844201085 34333013041302 57221688402170 68666026082604 85832532603255 114443376804340 171665065206510 343330130413020