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34056972 = 22323130517
BaseRepresentation
bin1000000111101…
…0101100001100
32101002021101100
42001322230030
532204310342
63213543100
7562323315
oct201725414
971067340
1034056972
1118251564
12b4a4a90
137095771
14474760c
152ecae4c
hex207ab0c

34056972 has 36 divisors (see below), whose sum is σ = 88868416. Its totient is φ = 10985760.

The previous prime is 34056959. The next prime is 34057027. The reversal of 34056972 is 27965043.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14143 + ... + 16374.

Almost surely, 234056972 is an apocalyptic number.

It is an amenable number.

34056972 is an abundant number, since it is smaller than the sum of its proper divisors (54811444).

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

34056972 is a wasteful number, since it uses less digits than its factorization.

34056972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30558 (or 30553 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 34056972 is about 5835.8351587412. The cubic root of 34056972 is about 324.1420273528.

The spelling of 34056972 in words is "thirty-four million, fifty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 30517 61034 91551 122068 183102 274653 366204 549306 946027 1098612 1892054 2838081 3784108 5676162 8514243 11352324 17028486 34056972