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234612 = 22327319
BaseRepresentation
bin111001010001110100
3102220211100
4321101310
530001422
65010100
71665000
oct712164
9386740
10234612
111502a4
12b3930
1382a31
1461700
15497ac
hex39474

234612 has 72 divisors (see below), whose sum is σ = 728000. Its totient is φ = 63504.

The previous prime is 234599. The next prime is 234613. The reversal of 234612 is 216432.

It is a happy number.

234612 is digitally balanced in base 2 and base 3, because in such bases 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 (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12339 + ... + 12357.

2234612 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 234612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364000).

234612 is an abundant number, since it is smaller than the sum of its proper divisors (493388).

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

234612 is a wasteful number, since it uses less digits than its factorization.

234612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 31 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 234612 is about 484.3676289762. The cubic root of 234612 is about 61.6760768044.

The spelling of 234612 in words is "two hundred thirty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 343 399 441 532 588 684 686 798 882 931 1029 1197 1372 1596 1764 1862 2058 2394 2793 3087 3724 4116 4788 5586 6174 6517 8379 11172 12348 13034 16758 19551 26068 33516 39102 58653 78204 117306 234612