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232342032 = 243131919597
BaseRepresentation
bin11011101100101…
…00001000010000
3121012012012100110
431312110020100
5433434421112
635015521320
75520606006
oct1566241020
9535165313
10232342032
1110a17300a
1265989240
133919c2c0
1422c00a76
15155e713c
hexdd94210

232342032 has 80 divisors (see below), whose sum is σ = 680442560. Its totient is φ = 67723776.

The previous prime is 232342031. The next prime is 232342037. The reversal of 232342032 is 230243232.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (232342031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2058 + ... + 21654.

It is an arithmetic number, because the mean of its divisors is an integer number (8505532).

Almost surely, 2232342032 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 232342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340221280).

232342032 is an abundant number, since it is smaller than the sum of its proper divisors (448100528).

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

232342032 is a wasteful number, since it uses less digits than its factorization.

232342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19640 (or 19634 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 232342032 is about 15242.7698270360. The cubic root of 232342032 is about 614.7651797022.

Adding to 232342032 its reverse (230243232), we get a palindrome (462585264).

The spelling of 232342032 in words is "two hundred thirty-two million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 19597 39194 58791 78388 117582 156776 235164 254761 313552 372343 470328 509522 744686 764283 940656 1019044 1117029 1489372 1528566 2038088 2234058 2978744 3057132 4076176 4468116 4840459 5957488 6114264 8936232 9680918 12228528 14521377 17872464 19361836 29042754 38723672 58085508 77447344 116171016 232342032