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296168064 = 2731276073
BaseRepresentation
bin10001101001110…
…010101010000000
3202122021220012120
4101221302222000
51101304334224
645215524240
710224246513
oct2151625200
9678256176
10296168064
111421a74a5
1283229680
134948889a
142b496d7a
151b003779
hex11a72a80

296168064 has 64 divisors (see below), whose sum is σ = 793021440. Its totient is φ = 97929216.

The previous prime is 296168011. The next prime is 296168087. The reversal of 296168064 is 460861692.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45732 + ... + 51804.

It is an arithmetic number, because the mean of its divisors is an integer number (12390960).

Almost surely, 2296168064 is an apocalyptic number.

296168064 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 296168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396510720).

296168064 is an abundant number, since it is smaller than the sum of its proper divisors (496853376).

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

296168064 is a wasteful number, since it uses less digits than its factorization.

296168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 296168064 is about 17209.5341017704. The cubic root of 296168064 is about 666.5704785669.

The spelling of 296168064 in words is "two hundred ninety-six million, one hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6073 6096 8128 12146 12192 16256 18219 24292 24384 36438 48584 48768 72876 97168 145752 194336 291504 388672 583008 771271 777344 1166016 1542542 2313813 2332032 3085084 4627626 6170168 9255252 12340336 18510504 24680672 37021008 49361344 74042016 98722688 148084032 296168064