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34077972 = 2232839831
BaseRepresentation
bin1000000111111…
…1110100010100
32101010100012010
42001333310110
532210443342
63214224220
7562441455
oct201776424
971110163
1034077972
1118266315
12b4b5070
1370a21a6
14475112c
152ed229c
hex207fd14

34077972 has 12 divisors (see below), whose sum is σ = 79515296. Its totient is φ = 11359320.

The previous prime is 34077971. The next prime is 34077983. The reversal of 34077972 is 27977043.

34077972 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 (12).

It is a super-2 number, since 2×340779722 = 2322616351265568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34077972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34077971) 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 3 ways as a sum of consecutive naturals, for example, 1419904 + ... + 1419927.

Almost surely, 234077972 is an apocalyptic number.

It is an amenable number.

34077972 is an abundant number, since it is smaller than the sum of its proper divisors (45437324).

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

34077972 is a wasteful number, since it uses less digits than its factorization.

34077972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839838 (or 2839836 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 34077972 is about 5837.6341098085. The cubic root of 34077972 is about 324.2086371497.

The spelling of 34077972 in words is "thirty-four million, seventy-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 2839831 5679662 8519493 11359324 17038986 34077972