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34307900892 = 2234162165323
BaseRepresentation
bin11111111100111010…
…010000010111011100
310021112222100221110000
4133330322100113130
51030230310312032
623432201214300
72323116226446
oct377472202734
9107488327400
1034307900892
1113605a08801
126795791390
133309a1c895
14193662b496
15d5be1de7c
hex7fce905dc

34307900892 has 60 divisors (see below), whose sum is σ = 89744332216. Its totient is φ = 11428737120.

The previous prime is 34307900881. The next prime is 34307900899. The reversal of 34307900892 is 29800970343.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34307900899) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 492543 + ... + 557865.

Almost surely, 234307900892 is an apocalyptic number.

It is an amenable number.

34307900892 is an abundant number, since it is smaller than the sum of its proper divisors (55436431324).

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

34307900892 is a wasteful number, since it uses less digits than its factorization.

34307900892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66960 (or 66949 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 34307900892 in words is "thirty-four billion, three hundred seven million, nine hundred thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1621 3242 4863 6484 9726 14589 19452 29178 43767 58356 65323 87534 130646 131301 175068 195969 261292 262602 391938 525204 587907 783876 1175814 1763721 2351628 3527442 5291163 7054884 10582326 21164652 105888583 211777166 317665749 423554332 635331498 952997247 1270662996 1905994494 2858991741 3811988988 5717983482 8576975223 11435966964 17153950446 34307900892