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34460131620 = 22354991150973
BaseRepresentation
bin100000000101111110…
…111110000100100100
310021221120211001202010
4200011332332010210
51031033243202440
623455240114220
72326645200015
oct400576760444
9107846731663
1034460131620
1113683933a22
126818765970
13333241cc35
14194c93700c
15d6a48e580
hex805fbe124

34460131620 has 48 divisors (see below), whose sum is σ = 96681816000. Its totient is φ = 9170944896.

The previous prime is 34460131609. The next prime is 34460131627. The reversal of 34460131620 is 2613106443.

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

It is not an unprimeable number, because it can be changed into a prime (34460131627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545547 + ... + 605426.

It is an arithmetic number, because the mean of its divisors is an integer number (2014204500).

Almost surely, 234460131620 is an apocalyptic number.

34460131620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34460131620 is an abundant number, since it is smaller than the sum of its proper divisors (62221684380).

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

34460131620 is a wasteful number, since it uses less digits than its factorization.

34460131620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151484 (or 1151482 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 34460131620 in words is "thirty-four billion, four hundred sixty million, one hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 499 998 1497 1996 2495 2994 4990 5988 7485 9980 14970 29940 1150973 2301946 3452919 4603892 5754865 6905838 11509730 13811676 17264595 23019460 34529190 69058380 574335527 1148671054 1723006581 2297342108 2871677635 3446013162 5743355270 6892026324 8615032905 11486710540 17230065810 34460131620