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232807440 = 2435970031
BaseRepresentation
bin11011110000001…
…01110000010000
3121020001211202210
431320011300100
5434044314230
635033512120
75524554615
oct1570056020
9536054683
10232807440
1110a460748
1265b72640
13393030a8
1422cc250c
1515689eb0
hexde05c10

232807440 has 40 divisors (see below), whose sum is σ = 721703808. Its totient is φ = 62081920.

The previous prime is 232807433. The next prime is 232807453. The reversal of 232807440 is 44708232.

232807440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232807398 and 232807407.

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 7 ways as a sum of consecutive naturals, for example, 484776 + ... + 485255.

Almost surely, 2232807440 is an apocalyptic number.

232807440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232807440 is an abundant number, since it is smaller than the sum of its proper divisors (488896368).

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

232807440 is a wasteful number, since it uses less digits than its factorization.

232807440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970047 (or 970041 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 232807440 is about 15258.0287062255. The cubic root of 232807440 is about 615.1753878782.

The spelling of 232807440 in words is "two hundred thirty-two million, eight hundred seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 970031 1940062 2910093 3880124 4850155 5820186 7760248 9700310 11640372 14550465 15520496 19400620 23280744 29100930 38801240 46561488 58201860 77602480 116403720 232807440