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34062280704 = 2113419101107
BaseRepresentation
bin11111101110010001…
…010010100000000000
310020220212012010220000
4133232101102200000
51024224420440304
623351544520000
72314044415554
oct375621224000
9106825163800
1034062280704
111349a2a6711
126727480000
13329ab818aa
141911b71864
15d455a2939
hex7ee452800

34062280704 has 480 divisors, whose sum is σ = 109167458400. Its totient is φ = 10550476800.

The previous prime is 34062280699. The next prime is 34062280753. The reversal of 34062280704 is 40708226043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318339019 + ... + 318339125.

It is an arithmetic number, because the mean of its divisors is an integer number (227432205).

Almost surely, 234062280704 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 34062280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54583729200).

34062280704 is an abundant number, since it is smaller than the sum of its proper divisors (75105177696).

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

34062280704 is a wasteful number, since it uses less digits than its factorization.

34062280704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 34062280704 in words is "thirty-four billion, sixty-two million, two hundred eighty thousand, seven hundred four".