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232852340 = 225710915259
BaseRepresentation
bin11011110000100…
…00101101110100
3121020011010100202
431320100231310
5434102233330
635034500032
75525132540
oct1570205564
9536133322
10232852340
1110a491456
1265b94618
133931a666
1422cd4a20
1515698445
hexde10b74

232852340 has 48 divisors (see below), whose sum is σ = 564009600. Its totient is φ = 79097472.

The previous prime is 232852327. The next prime is 232852343. The reversal of 232852340 is 43258232.

232852340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232852343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7631 + ... + 22889.

It is an arithmetic number, because the mean of its divisors is an integer number (11750200).

Almost surely, 2232852340 is an apocalyptic number.

232852340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 15259×15260.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232852340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282004800).

232852340 is an abundant number, since it is smaller than the sum of its proper divisors (331157260).

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

232852340 is a wasteful number, since it uses less digits than its factorization.

232852340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15384 (or 15382 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 232852340 is about 15259.4999918084. The cubic root of 232852340 is about 615.2149335780.

The spelling of 232852340 in words is "two hundred thirty-two million, eight hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 3052 3815 7630 15259 15260 30518 61036 76295 106813 152590 213626 305180 427252 534065 1068130 1663231 2136260 3326462 6652924 8316155 11642617 16632310 23285234 33264620 46570468 58213085 116426170 232852340