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34272972 = 22326115607
BaseRepresentation
bin1000001010111…
…1011011001100
32101111020200100
42002233123030
532233213342
63222331100
7564213126
oct202573314
971436610
1034272972
1118389878
12b589a90
13713cb86
1447a2216
15301ee4c
hex20af6cc

34272972 has 36 divisors (see below), whose sum is σ = 88060336. Its totient is φ = 11236320.

The previous prime is 34272971. The next prime is 34272977. The reversal of 34272972 is 27927243.

34272972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34272971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5608 + ... + 9999.

Almost surely, 234272972 is an apocalyptic number.

It is an amenable number.

34272972 is an abundant number, since it is smaller than the sum of its proper divisors (53787364).

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

34272972 is a wasteful number, since it uses less digits than its factorization.

34272972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15678 (or 15673 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 34272972 is about 5854.3122567899. The cubic root of 34272972 is about 324.8258538432.

The spelling of 34272972 in words is "thirty-four million, two hundred seventy-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 15607 31214 46821 62428 93642 140463 187284 280926 561852 952027 1904054 2856081 3808108 5712162 8568243 11424324 17136486 34272972