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232403840 = 2752111721
BaseRepresentation
bin11011101101000…
…11001110000000
3121012022100010122
431312203032000
5433443410330
635021115412
75521254134
oct1566431600
9535270118
10232403840
1110a205499
12659b8b68
13391c1486
1422c193c4
151560a5e5
hexdda3380

232403840 has 64 divisors (see below), whose sum is σ = 558547920. Its totient is φ = 92467200.

The previous prime is 232403813. The next prime is 232403879. The reversal of 232403840 is 48304232.

232403840 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 (64).

It is a congruent number.

It is an unprimeable number.

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, 134180 + ... + 135900.

Almost surely, 2232403840 is an apocalyptic number.

232403840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279273960).

232403840 is an abundant number, since it is smaller than the sum of its proper divisors (326144080).

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

232403840 is a wasteful number, since it uses less digits than its factorization.

232403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 232403840 is about 15244.7971452558. The cubic root of 232403840 is about 614.8196884754.

The spelling of 232403840 in words is "two hundred thirty-two million, four hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 320 422 640 844 1055 1688 1721 2110 3376 3442 4220 6752 6884 8440 8605 13504 13768 16880 17210 27008 27536 33760 34420 55072 67520 68840 110144 135040 137680 220288 275360 363131 550720 726262 1101440 1452524 1815655 2905048 3631310 5810096 7262620 11620192 14525240 23240384 29050480 46480768 58100960 116201920 232403840