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34456225023 = 32111444724091
BaseRepresentation
bin100000000101110000…
…000100010011111111
310021221022110120220100
4200011300010103333
51031031243200043
623455020252143
72326600036353
oct400560042377
9107838416810
1034456225023
1113681705930
1268173a1053
133331682a3c
14194c1db463
15d69e6bcd3
hex805c044ff

34456225023 has 24 divisors (see below), whose sum is σ = 54300669696. Its totient is φ = 20880248400.

The previous prime is 34456225021. The next prime is 34456225033. The reversal of 34456225023 is 32052265443.

34456225023 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 622 + 5 + 0 + 23 = 666.

It is not a de Polignac number, because 34456225023 - 21 = 34456225021 is a prime.

It is a super-2 number, since 2×344562250232 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34456225021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1418208 + ... + 1442298.

It is an arithmetic number, because the mean of its divisors is an integer number (2262527904).

Almost surely, 234456225023 is an apocalyptic number.

34456225023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34456225023 is a deficient number, since it is larger than the sum of its proper divisors (19844444673).

34456225023 is a wasteful number, since it uses less digits than its factorization.

34456225023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38555 (or 38552 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34456225023 in words is "thirty-four billion, four hundred fifty-six million, two hundred twenty-five thousand, twenty-three".

Divisors: 1 3 9 11 33 99 14447 24091 43341 72273 130023 158917 216819 265001 476751 795003 1430253 2385009 348042677 1044128031 3132384093 3828469447 11485408341 34456225023