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231340392 = 233247137499
BaseRepresentation
bin11011100100111…
…11100101101000
3121010022022100200
431302133211220
5433210343032
634542232200
75506234533
oct1562374550
9533268320
10231340392
11109649508
1265585660
1338c0b40a
1422a1da1a
151549a47c
hexdc9f968

231340392 has 96 divisors (see below), whose sum is σ = 645840000. Its totient is φ = 74771712.

The previous prime is 231340309. The next prime is 231340393. The reversal of 231340392 is 293043132.

It is a happy number.

231340392 is a `hidden beast` number, since 231 + 3 + 40 + 392 = 666.

It is not an unprimeable number, because it can be changed into a prime (231340393) 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, 463359 + ... + 463857.

It is an arithmetic number, because the mean of its divisors is an integer number (6727500).

Almost surely, 2231340392 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 231340392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322920000).

231340392 is an abundant number, since it is smaller than the sum of its proper divisors (414499608).

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

231340392 is a wasteful number, since it uses less digits than its factorization.

231340392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 231340392 is about 15209.8781060204. The cubic root of 231340392 is about 613.8804776776.

The spelling of 231340392 in words is "two hundred thirty-one million, three hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 137 141 188 274 282 376 411 423 499 548 564 822 846 998 1096 1128 1233 1497 1644 1692 1996 2466 2994 3288 3384 3992 4491 4932 5988 6439 8982 9864 11976 12878 17964 19317 23453 25756 35928 38634 46906 51512 57951 68363 70359 77268 93812 115902 136726 140718 154536 187624 205089 211077 231804 273452 281436 410178 422154 463608 546904 562872 615267 820356 844308 1230534 1640712 1688616 2461068 3213061 4922136 6426122 9639183 12852244 19278366 25704488 28917549 38556732 57835098 77113464 115670196 231340392