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255362304 = 2831719559
BaseRepresentation
bin11110011100010…
…00010100000000
3122210111202020010
433032020110000
51010333043204
641201144520
76220354341
oct1716102400
9583452203
10255362304
1112116652a
127162b140
1340b9c372
1425cb40c8
1517642d89
hexf388500

255362304 has 72 divisors (see below), whose sum is σ = 719651520. Its totient is φ = 80109568.

The previous prime is 255362273. The next prime is 255362311. The reversal of 255362304 is 403263552.

255362304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3277 + ... + 22835.

It is an arithmetic number, because the mean of its divisors is an integer number (9995160).

Almost surely, 2255362304 is an apocalyptic number.

255362304 is a gapful number since it is divisible by the number (24) 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 255362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359825760).

255362304 is an abundant number, since it is smaller than the sum of its proper divisors (464289216).

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

255362304 is a wasteful number, since it uses less digits than its factorization.

255362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19595 (or 19581 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 255362304 is about 15980.0595743570. The cubic root of 255362304 is about 634.4327536021.

The spelling of 255362304 in words is "two hundred fifty-five million, three hundred sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 19559 39118 58677 78236 117354 156472 234708 312944 332503 469416 625888 665006 938832 997509 1251776 1330012 1877664 1995018 2503552 2660024 3755328 3990036 5007104 5320048 7510656 7980072 10640096 15021312 15960144 21280192 31920288 42560384 63840576 85120768 127681152 255362304