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361233252 = 223210034257
BaseRepresentation
bin10101100001111…
…111101101100100
3221011201112212100
4111201333231210
51214433431002
655502252100
711644301112
oct2541775544
9834645770
10361233252
111759a7986
12a0b87030
1359aba1b3
1435d92ab2
1521aa711c
hex1587fb64

361233252 has 18 divisors (see below), whose sum is σ = 913117478. Its totient is φ = 120411072.

The previous prime is 361233233. The next prime is 361233283. The reversal of 361233252 is 252332163.

It can be written as a sum of positive squares in only one way, i.e., 341732196 + 19501056 = 18486^2 + 4416^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5017093 + ... + 5017164.

Almost surely, 2361233252 is an apocalyptic number.

It is an amenable number.

361233252 is an abundant number, since it is smaller than the sum of its proper divisors (551884226).

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

361233252 is a wasteful number, since it uses less digits than its factorization.

361233252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034267 (or 10034262 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 361233252 is about 19006.1372193300. The cubic root of 361233252 is about 712.1900583603.

It can be divided in two parts, 3612 and 33252, that added together give a square (36864 = 1922).

The spelling of 361233252 in words is "three hundred sixty-one million, two hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 10034257 20068514 30102771 40137028 60205542 90308313 120411084 180616626 361233252