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235376964 = 223225572
BaseRepresentation
bin11100000011110…
…01000101000100
3121101220101111100
432001321011010
5440224030324
635204540100
75555446134
oct1601710504
9541811440
10235376964
11110956219
12669b1630
13399c2814
1423390ac4
15159e64c9
hexe079144

235376964 has 27 divisors (see below), whose sum is σ = 595213437. Its totient is φ = 78428304.

The previous prime is 235376957. The next prime is 235376983. The reversal of 235376964 is 469673532.

The square root of 235376964 is 15342.

It is a perfect power (a square), and thus also a powerful number.

235376964 is a `hidden beast` number, since 23 + 537 + 6 + 96 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101002500 + 134374464 = 10050^2 + 11592^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90774 + ... + 93330.

Almost surely, 2235376964 is an apocalyptic number.

235376964 is the 15342-nd square number.

It is an amenable number.

235376964 is an abundant number, since it is smaller than the sum of its proper divisors (359836473).

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

235376964 is an equidigital number, since it uses as much as digits as its factorization.

235376964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 2562 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The cubic root of 235376964 is about 617.4303671201.

The spelling of 235376964 in words is "two hundred thirty-five million, three hundred seventy-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2557 5114 7671 10228 15342 23013 30684 46026 92052 6538249 13076498 19614747 26152996 39229494 58844241 78458988 117688482 235376964