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232343820 = 2232511311423
BaseRepresentation
bin11011101100101…
…00100100001100
3121012012021210200
431312110210030
5433440000240
635015533500
75520614142
oct1566244414
9535167720
10232343820
1110a174395
126598a290
13391a0067
1422c01592
15155e7930
hexdd9490c

232343820 has 72 divisors (see below), whose sum is σ = 711075456. Its totient is φ = 61404672.

The previous prime is 232343803. The next prime is 232343857. The reversal of 232343820 is 28343232.

232343820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14629 + ... + 26051.

It is an arithmetic number, because the mean of its divisors is an integer number (9876048).

Almost surely, 2232343820 is an apocalyptic number.

232343820 is a gapful number since it is divisible by the number (20) 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 232343820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355537728).

232343820 is an abundant number, since it is smaller than the sum of its proper divisors (478731636).

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

232343820 is a wasteful number, since it uses less digits than its factorization.

232343820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551 (or 11546 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 232343820 is about 15242.8284776809. The cubic root of 232343820 is about 614.7667566838.

The spelling of 232343820 in words is "two hundred thirty-two million, three hundred forty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 11423 20340 22846 34269 45692 57115 68538 102807 114230 137076 171345 205614 228460 342690 411228 514035 685380 1028070 1290799 2056140 2581598 3872397 5163196 6453995 7744794 11617191 12907990 15489588 19361985 23234382 25815980 38723970 46468764 58085955 77447940 116171910 232343820