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232704 = 2832101
BaseRepresentation
bin111000110100000000
3102211012200
4320310000
524421304
64553200
71656303
oct706400
9384180
10232704
1114991a
12b2800
1381bc4
1460b3a
1548e39
hex38d00

232704 has 54 divisors (see below), whose sum is σ = 677586. Its totient is φ = 76800.

The previous prime is 232699. The next prime is 232709. The reversal of 232704 is 407232.

It is a happy number.

232704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232699) and next prime (232709).

It can be written as a sum of positive squares in only one way, i.e., 230400 + 2304 = 480^2 + 48^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2254 + ... + 2354.

2232704 is an apocalyptic number.

232704 is a gapful number since it is divisible by the number (24) 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 232704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338793).

232704 is an abundant number, since it is smaller than the sum of its proper divisors (444882).

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

232704 is a wasteful number, since it uses less digits than its factorization.

232704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 232704 is about 482.3940298138. The cubic root of 232704 is about 61.5084263687.

Adding to 232704 its reverse (407232), we get a palindrome (639936).

The spelling of 232704 in words is "two hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 576 606 768 808 909 1152 1212 1616 1818 2304 2424 3232 3636 4848 6464 7272 9696 12928 14544 19392 25856 29088 38784 58176 77568 116352 232704