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231629304 = 233194311813
BaseRepresentation
bin11011100111001…
…10000111111000
3121010211222200010
431303212013320
5433244114204
634552341520
75511550044
oct1563460770
9533758603
10231629304
11109826585
12656a48a0
1338caca7a
1422a97024
1515505d89
hexdce61f8

231629304 has 64 divisors (see below), whose sum is σ = 623779200. Its totient is φ = 71438976.

The previous prime is 231629273. The next prime is 231629317. The reversal of 231629304 is 403926132.

231629304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13702 + ... + 25514.

It is an arithmetic number, because the mean of its divisors is an integer number (9746550).

Almost surely, 2231629304 is an apocalyptic number.

231629304 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 231629304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311889600).

231629304 is an abundant number, since it is smaller than the sum of its proper divisors (392149896).

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

231629304 is a wasteful number, since it uses less digits than its factorization.

231629304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11884 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 231629304 is about 15219.3726546136. The cubic root of 231629304 is about 614.1359218374.

The spelling of 231629304 in words is "two hundred thirty-one million, six hundred twenty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2451 3268 4902 6536 9804 11813 19608 23626 35439 47252 70878 94504 141756 224447 283512 448894 507959 673341 897788 1015918 1346682 1523877 1795576 2031836 2693364 3047754 4063672 5386728 6095508 9651221 12191016 19302442 28953663 38604884 57907326 77209768 115814652 231629304