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232323840 = 2832574367
BaseRepresentation
bin11011101100011…
…11101100000000
3121012011021101200
431312033230000
5433433330330
635015301200
75520501660
oct1566175400
9535137350
10232323840
1110a160381
126597a800
1339193c38
1422bd81a0
15155e1a60
hexdd8fb00

232323840 has 432 divisors, whose sum is σ = 954041088. Its totient is φ = 51093504.

The previous prime is 232323823. The next prime is 232323859. The reversal of 232323840 is 48323232.

232323840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3467487 + ... + 3467553.

Almost surely, 2232323840 is an apocalyptic number.

232323840 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 232323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477020544).

232323840 is an abundant number, since it is smaller than the sum of its proper divisors (721717248).

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

232323840 is a wasteful number, since it uses less digits than its factorization.

232323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 232323840 is about 15242.1730734171. The cubic root of 232323840 is about 614.7491342484.

It can be divided in two parts, 23232 and 3840, that added together give a palindrome (27072).

The spelling of 232323840 in words is "two hundred thirty-two million, three hundred twenty-three thousand, eight hundred forty".