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34107374592 = 210338389167
BaseRepresentation
bin11111110000111101…
…010011110000000000
310021001000001011002000
4133300331103300000
51024322441441332
623400235224000
72315132620614
oct376075236000
9107030034060
1034107374592
11135127a6395
12673a5a8000
1332a730cb75
141917b4d344
15d4950db7c
hex7f0f53c00

34107374592 has 352 divisors, whose sum is σ = 103994150400. Its totient is φ = 11039440896.

The previous prime is 34107374591. The next prime is 34107374633. The reversal of 34107374592 is 29547370143.

It is a super-4 number, since 4×341073745924 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34107374591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204235693 + ... + 204235859.

Almost surely, 234107374592 is an apocalyptic number.

34107374592 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34107374592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51997075200).

34107374592 is an abundant number, since it is smaller than the sum of its proper divisors (69886775808).

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

34107374592 is a wasteful number, since it uses less digits than its factorization.

34107374592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 34107374592 in words is "thirty-four billion, one hundred seven million, three hundred seventy-four thousand, five hundred ninety-two".