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34347266401 = 761142756369
BaseRepresentation
bin11111111111010000…
…011011000101100001
310021122201102220202211
4133333100123011201
51030320400011101
623440125042121
72324104642630
oct377720330541
9107581386684
1034347266401
1113626155688
1267a69b6341
133314c23696
14193b957517
15d605e7c51
hex7ff41b161

34347266401 has 16 divisors (see below), whose sum is σ = 39926194560. Its totient is φ = 28937076480.

The previous prime is 34347266399. The next prime is 34347266411. The reversal of 34347266401 is 10466274343.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34347266401 - 21 = 34347266399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34347266411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581145 + ... + 637513.

It is an arithmetic number, because the mean of its divisors is an integer number (2495387160).

Almost surely, 234347266401 is an apocalyptic number.

It is an amenable number.

34347266401 is a deficient number, since it is larger than the sum of its proper divisors (5578928159).

34347266401 is a wasteful number, since it uses less digits than its factorization.

34347266401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57864.

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 34347266401 in words is "thirty-four billion, three hundred forty-seven million, two hundred sixty-six thousand, four hundred one".

Divisors: 1 7 61 427 1427 9989 56369 87047 394583 609329 3438509 24069563 80438563 563069941 4906752343 34347266401