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340101342020 = 2251110124236317
BaseRepresentation
bin1001111001011111001…
…11101010001101000100
31012111212020200021100202
410330233213222031010
521033011420421040
6420123532030032
733400012465046
oct4745747521504
91174766607322
10340101342020
11121266383080
1255ab7302318
13260c0ba475b
1412664d6da96
158ca8013015
hex4f2f9ea344

340101342020 has 96 divisors (see below), whose sum is σ = 787304883456. Its totient is φ = 122378816000.

The previous prime is 340101341969. The next prime is 340101342047. The reversal of 340101342020 is 20243101043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 340101341983 and 340101342001.

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, 53835902 + ... + 53842218.

It is an arithmetic number, because the mean of its divisors is an integer number (8201092536).

Almost surely, 2340101342020 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 340101342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393652441728).

340101342020 is an abundant number, since it is smaller than the sum of its proper divisors (447203541436).

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

340101342020 is a wasteful number, since it uses less digits than its factorization.

340101342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8861 (or 8859 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 340101342020 its reverse (20243101043), we get a palindrome (360344443063).

The spelling of 340101342020 in words is "three hundred forty billion, one hundred one million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2423 4444 4846 5555 6317 9692 11110 12115 12634 22220 24230 25268 26653 31585 48460 53306 63170 69487 106612 126340 133265 138974 244723 266530 277948 347435 489446 533060 638017 694870 978892 1223615 1276034 1389740 2447230 2552068 2691953 3190085 4894460 5383906 6380170 7018187 10767812 12760340 13459765 14036374 15306091 26919530 28072748 30612182 35090935 53839060 61224364 70181870 76530455 140363740 153060910 168367001 306121820 336734002 673468004 841835005 1545915191 1683670010 3091830382 3367340020 6183660764 7729575955 15459151910 17005067101 30918303820 34010134202 68020268404 85025335505 170050671010 340101342020