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900352313 = 7231592727
BaseRepresentation
bin110101101010100…
…100100100111001
32022202011122011222
4311222210210321
53320442233223
6225201401425
731211603600
oct6552444471
92282148158
10900352313
11422253023
12211639275
131146bab63
148780ca37
155409b0c8
hex35aa4939

900352313 has 12 divisors (see below), whose sum is σ = 1081135872. Its totient is φ = 746834760.

The previous prime is 900352303. The next prime is 900352337. The reversal of 900352313 is 313253009.

900352313 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 900352313 - 212 = 900348217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900352303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294845 + ... + 297882.

It is an arithmetic number, because the mean of its divisors is an integer number (90094656).

Almost surely, 2900352313 is an apocalyptic number.

It is an amenable number.

900352313 is a deficient number, since it is larger than the sum of its proper divisors (180783559).

900352313 is a wasteful number, since it uses less digits than its factorization.

900352313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592772 (or 592765 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 900352313 is about 30005.8713087956. The cubic root of 900352313 is about 965.6153513040.

It can be divided in two parts, 9003 and 52313, that added together give a palindrome (61316).

The spelling of 900352313 in words is "nine hundred million, three hundred fifty-two thousand, three hundred thirteen".

Divisors: 1 7 31 49 217 1519 592727 4149089 18374537 29043623 128621759 900352313