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34457442405 = 356197388231
BaseRepresentation
bin100000000101110100…
…101101100001100101
310021221101202102211120
4200011310231201211
51031032101124110
623455102324153
72326613266521
oct400564554145
9107841672746
1034457442405
1113682367531
126817889659
1333319bab99
14194c436d81
15d6a10c870
hex805d2d865

34457442405 has 32 divisors (see below), whose sum is σ = 56613543168. Its totient is φ = 17889638400.

The previous prime is 34457442359. The next prime is 34457442413. The reversal of 34457442405 is 50424475443.

It is a happy number.

It is not a de Polignac number, because 34457442405 - 27 = 34457442277 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105361 + ... + 282870.

It is an arithmetic number, because the mean of its divisors is an integer number (1769173224).

Almost surely, 234457442405 is an apocalyptic number.

It is an amenable number.

34457442405 is a deficient number, since it is larger than the sum of its proper divisors (22156100763).

34457442405 is a wasteful number, since it uses less digits than its factorization.

34457442405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388397.

The product of its (nonzero) digits is 1075200, while the sum is 42.

The spelling of 34457442405 in words is "thirty-four billion, four hundred fifty-seven million, four hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 15 61 97 183 291 305 485 915 1455 5917 17751 29585 88755 388231 1164693 1941155 5823465 23682091 37658407 71046273 112975221 118410455 188292035 355231365 564876105 2297162827 6891488481 11485814135 34457442405