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34440107440 = 245430501343
BaseRepresentation
bin100000000100110010…
…100101010110110000
310021220012010201201211
4200010302211112300
51031013131414230
623453243005504
72326313040334
oct400462452660
9107805121654
1034440107440
11136735a7512
126811b09894
13332b22b7cb
14194a0037c4
15d6883642a
hex804ca55b0

34440107440 has 20 divisors (see below), whose sum is σ = 80073249984. Its totient is φ = 13776042944.

The previous prime is 34440107437. The next prime is 34440107447. The reversal of 34440107440 is 4470104443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×344401074402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34440107447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215250592 + ... + 215250751.

Almost surely, 234440107440 is an apocalyptic number.

It is an amenable number.

34440107440 is an abundant number, since it is smaller than the sum of its proper divisors (45633142544).

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

34440107440 is a wasteful number, since it uses less digits than its factorization.

34440107440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430501356 (or 430501350 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The spelling of 34440107440 in words is "thirty-four billion, four hundred forty million, one hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 430501343 861002686 1722005372 2152506715 3444010744 4305013430 6888021488 8610026860 17220053720 34440107440