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34893625 = 5313109197
BaseRepresentation
bin1000010100011…
…0111100111001
32102122210001111
42011012330321
532413044000
63243520321
7602406454
oct205067471
972583044
1034893625
1118773108
12b8290a1
1372c9520
1448c449b
1530e3cba
hex2146f39

34893625 has 32 divisors (see below), whose sum is σ = 47567520. Its totient is φ = 25401600.

The previous prime is 34893577. The next prime is 34893629. The reversal of 34893625 is 52639843.

34893625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 16941456 + 17952169 = 4116^2 + 4237^2 .

It is not a de Polignac number, because 34893625 - 27 = 34893497 is a prime.

Its product of digits (155520) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34893629) 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, 177027 + ... + 177223.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 234893625 is an apocalyptic number.

It is an amenable number.

34893625 is a deficient number, since it is larger than the sum of its proper divisors (12673895).

34893625 is a wasteful number, since it uses less digits than its factorization.

34893625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 34893625 is about 5907.0826132703. The cubic root of 34893625 is about 326.7749045508.

The spelling of 34893625 in words is "thirty-four million, eight hundred ninety-three thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 109 125 197 325 545 985 1417 1625 2561 2725 4925 7085 12805 13625 21473 24625 35425 64025 107365 177125 279149 320125 536825 1395745 2684125 6978725 34893625