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232324020 = 223251967931
BaseRepresentation
bin11011101100011…
…11101110110100
3121012011021122100
431312033232310
5433433332040
635015302100
75520502335
oct1566175664
9535137570
10232324020
1110a160525
126597a930
1339194046
1422bd828c
15155e1b30
hexdd8fbb4

232324020 has 72 divisors (see below), whose sum is σ = 741817440. Its totient is φ = 58691520.

The previous prime is 232323997. The next prime is 232324031. The reversal of 232324020 is 20423232.

232324020 = 1282 + 1292 + ... + 8872.

232324020 is a `hidden beast` number, since 232 + 32 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232323984 and 232324002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30546 + ... + 37385.

It is an arithmetic number, because the mean of its divisors is an integer number (10303020).

Almost surely, 2232324020 is an apocalyptic number.

232324020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232324020 is an abundant number, since it is smaller than the sum of its proper divisors (509493420).

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

232324020 is a wasteful number, since it uses less digits than its factorization.

232324020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67965 (or 67960 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 232324020 is about 15242.1789780858. The cubic root of 232324020 is about 614.7492930135.

Adding to 232324020 its reverse (20423232), we get a palindrome (252747252).

The spelling of 232324020 in words is "two hundred thirty-two million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 67931 135862 203793 271724 339655 407586 611379 679310 815172 1018965 1222758 1290689 1358620 2037930 2445516 2581378 3056895 3872067 4075860 5162756 6113790 6453445 7744134 11616201 12227580 12906890 15488268 19360335 23232402 25813780 38720670 46464804 58081005 77441340 116162010 232324020