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232384830 = 235291312039
BaseRepresentation
bin11011101100111…
…10100100111110
3121012021101001120
431312132210332
5433442303310
635020451410
75521144536
oct1566364476
9535241046
10232384830
1110a1a2187
12659a9b66
13391b5922
1422c124c6
1515604b70
hexdd9e93e

232384830 has 64 divisors (see below), whose sum is σ = 581644800. Its totient is φ = 59346560.

The previous prime is 232384819. The next prime is 232384853. The reversal of 232384830 is 38483232.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 232384791 and 232384800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112951 + ... + 114989.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2232384830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232384830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

232384830 is an abundant number, since it is smaller than the sum of its proper divisors (349259970).

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

232384830 is a wasteful number, since it uses less digits than its factorization.

232384830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 232384830 is about 15244.1736410997. The cubic root of 232384830 is about 614.8029244939.

It can be divided in two parts, 2323 and 84830, that added together give a triangular number (87153 = T417).

The spelling of 232384830 in words is "two hundred thirty-two million, three hundred eighty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 131 145 174 262 290 393 435 655 786 870 1310 1965 2039 3799 3930 4078 6117 7598 10195 11397 12234 18995 20390 22794 30585 37990 56985 59131 61170 113970 118262 177393 267109 295655 354786 534218 591310 801327 886965 1335545 1602654 1773930 2671090 4006635 7746161 8013270 15492322 23238483 38730805 46476966 77461610 116192415 232384830