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34056072 = 2333157667
BaseRepresentation
bin1000000111101…
…0011110001000
32101002020011000
42001322132020
532204243242
63213535000
7562320561
oct201723610
971066130
1034056072
1118250916
12b4a4460
13709522b
144747168
152ecaa4c
hex207a788

34056072 has 32 divisors (see below), whose sum is σ = 94600800. Its totient is φ = 11351952.

The previous prime is 34056041. The next prime is 34056101. The reversal of 34056072 is 27065043.

It is a happy number.

34056072 is a `hidden beast` number, since 34 + 0 + 560 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 7 ways as a sum of consecutive naturals, for example, 78618 + ... + 79049.

It is an arithmetic number, because the mean of its divisors is an integer number (2956275).

Almost surely, 234056072 is an apocalyptic number.

It is an amenable number.

34056072 is an abundant number, since it is smaller than the sum of its proper divisors (60544728).

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

34056072 is a wasteful number, since it uses less digits than its factorization.

34056072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157682 (or 157672 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34056072 is about 5835.7580484458. The cubic root of 34056072 is about 324.1391720354.

The spelling of 34056072 in words is "thirty-four million, fifty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 157667 315334 473001 630668 946002 1261336 1419003 1892004 2838006 3784008 4257009 5676012 8514018 11352024 17028036 34056072