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264368232 = 23334726041
BaseRepresentation
bin11111100000111…
…11000001101000
3200102110022001000
433300133001220
51020134240412
642122155000
76360043602
oct1760370150
9612408030
10264368232
11126257847
1274652a60
1342a0360b
142717a172
15183214dc
hexfc1f068

264368232 has 64 divisors (see below), whose sum is σ = 750009600. Its totient is φ = 86244480.

The previous prime is 264368201. The next prime is 264368239. The reversal of 264368232 is 232863462.

264368232 is a `hidden beast` number, since 2 + 64 + 368 + 232 = 666.

264368232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (264368239) 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, 2869 + ... + 23172.

It is an arithmetic number, because the mean of its divisors is an integer number (11718900).

Almost surely, 2264368232 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 264368232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375004800).

264368232 is an abundant number, since it is smaller than the sum of its proper divisors (485641368).

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

264368232 is a wasteful number, since it uses less digits than its factorization.

264368232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26103 (or 26093 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 264368232 is about 16259.4044171366. The cubic root of 264368232 is about 641.8049892463.

The spelling of 264368232 in words is "two hundred sixty-four million, three hundred sixty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 26041 52082 78123 104164 156246 208328 234369 312492 468738 624984 703107 937476 1223927 1406214 1874952 2447854 2812428 3671781 4895708 5624856 7343562 9791416 11015343 14687124 22030686 29374248 33046029 44061372 66092058 88122744 132184116 264368232