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34729625 = 537192089
BaseRepresentation
bin1000010001111…
…0111010011001
32102100110002102
42010132322121
532342322000
63240213145
7601124360
oct204367231
972313072
1034729625
1118670977
12b76a1b5
13726c998
1448807d7
1530b03d5
hex211ee99

34729625 has 32 divisors (see below), whose sum is σ = 52166400. Its totient is φ = 22550400.

The previous prime is 34729621. The next prime is 34729649. The reversal of 34729625 is 52692743.

34729625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34729625 - 22 = 34729621 is a prime.

It is a super-2 number, since 2×347296252 = 2412293705281250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34729621) 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 31 ways as a sum of consecutive naturals, for example, 15581 + ... + 17669.

It is an arithmetic number, because the mean of its divisors is an integer number (1630200).

Almost surely, 234729625 is an apocalyptic number.

34729625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34729625 is a deficient number, since it is larger than the sum of its proper divisors (17436775).

34729625 is a wasteful number, since it uses less digits than its factorization.

34729625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2120 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 34729625 is about 5893.1846229352. The cubic root of 34729625 is about 326.2621531661.

The spelling of 34729625 in words is "thirty-four million, seven hundred twenty-nine thousand, six hundred twenty-five".

Divisors: 1 5 7 19 25 35 95 125 133 175 475 665 875 2089 2375 3325 10445 14623 16625 39691 52225 73115 198455 261125 277837 365575 992275 1389185 1827875 4961375 6945925 34729625