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235314640 = 24511267403
BaseRepresentation
bin11100000011010…
…01110111010000
3121101210020000001
432001221313100
5440220032030
635203335344
75555066341
oct1601516720
9541706001
10235314640
11110913410
1266981554
13399a0342
14233760c8
15159d2cca
hexe069dd0

235314640 has 40 divisors (see below), whose sum is σ = 596845728. Its totient is φ = 85568640.

The previous prime is 235314593. The next prime is 235314643. The reversal of 235314640 is 46413532.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 235314599 and 235314608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235314643) 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 7 ways as a sum of consecutive naturals, for example, 132822 + ... + 134581.

Almost surely, 2235314640 is an apocalyptic number.

235314640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235314640 is an abundant number, since it is smaller than the sum of its proper divisors (361531088).

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

235314640 is a wasteful number, since it uses less digits than its factorization.

235314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267427 (or 267421 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 235314640 is about 15339.9687092249. The cubic root of 235314640 is about 617.3758671294.

The spelling of 235314640 in words is "two hundred thirty-five million, three hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 267403 534806 1069612 1337015 2139224 2674030 2941433 4278448 5348060 5882866 10696120 11765732 14707165 21392240 23531464 29414330 47062928 58828660 117657320 235314640