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34003400748 = 22317672487811
BaseRepresentation
bin11111101010110000…
…101011100000101100
310020202202101201202220
4133222300223200230
51024114332310443
623342042515340
72312431065102
oct375260534054
9106682351686
1034003400748
111346a040299
12670b805b50
13328b907695
141908005c72
15d40321a83
hex7eac2b82c

34003400748 has 48 divisors (see below), whose sum is σ = 85262292864. Its totient is φ = 10508509440.

The previous prime is 34003400737. The next prime is 34003400771. The reversal of 34003400748 is 84700430043.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230238 + ... + 1257573.

It is an arithmetic number, because the mean of its divisors is an integer number (1776297768).

Almost surely, 234003400748 is an apocalyptic number.

It is an amenable number.

34003400748 is an abundant number, since it is smaller than the sum of its proper divisors (51258892116).

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

34003400748 is a wasteful number, since it uses less digits than its factorization.

34003400748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487902 (or 2487900 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 34003400748 in words is "thirty-four billion, three million, four hundred thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 2278 3417 4556 6834 13668 2487811 4975622 7463433 9951244 14926866 29853732 42292787 84585574 126878361 166683337 169171148 253756722 333366674 500050011 507513444 666733348 1000100022 2000200044 2833616729 5667233458 8500850187 11334466916 17001700374 34003400748