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232672 = 2511661
BaseRepresentation
bin111000110011100000
3102211011111
4320303200
524421142
64553104
71656226
oct706340
9384144
10232672
111498a0
12b2794
1381b9b
1460b16
1548e17
hex38ce0

232672 has 24 divisors (see below), whose sum is σ = 500472. Its totient is φ = 105600.

The previous prime is 232669. The next prime is 232681. The reversal of 232672 is 276232.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 682.

It is an arithmetic number, because the mean of its divisors is an integer number (20853).

2232672 is an apocalyptic number.

232672 is a gapful number since it is divisible by the number (22) 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 232672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250236).

232672 is an abundant number, since it is smaller than the sum of its proper divisors (267800).

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

232672 is a wasteful number, since it uses less digits than its factorization.

232672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 232672 is about 482.3608607671. The cubic root of 232672 is about 61.5056068213.

The spelling of 232672 in words is "two hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 661 1322 2644 5288 7271 10576 14542 21152 29084 58168 116336 232672