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293315968 = 2711415081
BaseRepresentation
bin10001011110111…
…010010110000000
3202102220222212101
4101132322112000
51100042102333
645034440144
710161100411
oct2136722600
9672828771
10293315968
111406296a0
1282293054
13489ca65a
142ad53808
151ab3d67d
hex117ba580

293315968 has 64 divisors (see below), whose sum is σ = 653138640. Its totient is φ = 130048000.

The previous prime is 293315921. The next prime is 293315969. The reversal of 293315968 is 869513392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293315969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55188 + ... + 60268.

Almost surely, 2293315968 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 293315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326569320).

293315968 is an abundant number, since it is smaller than the sum of its proper divisors (359822672).

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

293315968 is a wasteful number, since it uses less digits than its factorization.

293315968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5135 counting only the distinct ones).

The product of its digits is 349920, while the sum is 46.

The square root of 293315968 is about 17126.4698055379. The cubic root of 293315968 is about 664.4238837929.

The spelling of 293315968 in words is "two hundred ninety-three million, three hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 328 352 451 656 704 902 1312 1408 1804 2624 3608 5081 5248 7216 10162 14432 20324 28864 40648 55891 57728 81296 111782 162592 208321 223564 325184 416642 447128 650368 833284 894256 1666568 1788512 2291531 3333136 3577024 4583062 6666272 7154048 9166124 13332544 18332248 26665088 36664496 73328992 146657984 293315968