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232408 = 231119139
BaseRepresentation
bin111000101111011000
3102210210201
4320233120
524414113
64551544
71655401
oct705730
9383721
10232408
11149680
12b25b4
1381a27
14609a8
1548cdd
hex38bd8

232408 has 32 divisors (see below), whose sum is σ = 504000. Its totient is φ = 99360.

The previous prime is 232391. The next prime is 232409. The reversal of 232408 is 804232.

It is a happy number.

232408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1603 + ... + 1741.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2232408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000).

232408 is an abundant number, since it is smaller than the sum of its proper divisors (271592).

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

232408 is a wasteful number, since it uses less digits than its factorization.

232408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 232408 is about 482.0871290545. The cubic root of 232408 is about 61.4823356852.

The spelling of 232408 in words is "two hundred thirty-two thousand, four hundred eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 139 152 209 278 418 556 836 1112 1529 1672 2641 3058 5282 6116 10564 12232 21128 29051 58102 116204 232408