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334333021012340 = 225753227319823299
BaseRepresentation
bin100110000000100101111100…
…0111101000100000101110100
31121211202220222002010022020112
41030001023320331010011310
5322310203011334343330
63143022245225322152
7130264522635113060
oct11401137075040564
91554686862108215
10334333021012340
119758a924354789
12315b7b90336358
1311472612693b3c
145c7bb399c4aa0
15289bb80c20795
hex13012f8f44174

334333021012340 has 96 divisors (see below), whose sum is σ = 817898574124800. Its totient is φ = 112416178507776.

The previous prime is 334333021012313. The next prime is 334333021012481. The reversal of 334333021012340 is 43210120333433.

It is a super-3 number, since 3×3343330210123403 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 334333021012297 and 334333021012306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6954011 + ... + 26777309.

It is an arithmetic number, because the mean of its divisors is an integer number (8519776813800).

Almost surely, 2334333021012340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334333021012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408949287062400).

334333021012340 is an abundant number, since it is smaller than the sum of its proper divisors (483565553112460).

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

334333021012340 is a wasteful number, since it uses less digits than its factorization.

334333021012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19825641 (or 19825639 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 334333021012340 its reverse (43210120333433), we get a palindrome (377543141345773).

The spelling of 334333021012340 in words is "three hundred thirty-four trillion, three hundred thirty-three billion, twenty-one million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 2273 3710 4546 7420 9092 11365 15911 22730 31822 45460 63644 79555 120469 159110 240938 318220 481876 602345 843283 1204690 1686566 2409380 3373132 4216415 8432830 16865660 19823299 39646598 79293196 99116495 138763093 198232990 277526186 396465980 555052372 693815465 1050634847 1387630930 2101269694 2775261860 4202539388 5253174235 7354443929 10506348470 14708887858 21012696940 29417775716 36772219645 45058358627 73544439290 90116717254 147088878580 180233434508 225291793135 315408510389 450583586270 630817020778 901167172540 1261634041556 1577042551945 2388093007231 3154085103890 4776186014462 6308170207780 9552372028924 11940465036155 16716651050617 23880930072310 33433302101234 47761860144620 66866604202468 83583255253085 167166510506170 334333021012340