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34072764 = 22311258127
BaseRepresentation
bin1000000111111…
…0100010111100
32101010002001020
42001332202330
532210312024
63214144140
7562420335
oct201764274
971102036
1034072764
1118262410
12b4b2050
13709c9cb
14474d28c
152ed0979
hex207e8bc

34072764 has 24 divisors (see below), whose sum is σ = 86731008. Its totient is φ = 10325040.

The previous prime is 34072747. The next prime is 34072769. The reversal of 34072764 is 46727043.

34072764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34072769) 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 7 ways as a sum of consecutive naturals, for example, 128932 + ... + 129195.

It is an arithmetic number, because the mean of its divisors is an integer number (3613792).

Almost surely, 234072764 is an apocalyptic number.

It is an amenable number.

34072764 is an abundant number, since it is smaller than the sum of its proper divisors (52658244).

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

34072764 is a wasteful number, since it uses less digits than its factorization.

34072764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258145 (or 258143 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 34072764 is about 5837.1880216419. The cubic root of 34072764 is about 324.1921204724.

The spelling of 34072764 in words is "thirty-four million, seventy-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 258127 516254 774381 1032508 1548762 2839397 3097524 5678794 8518191 11357588 17036382 34072764