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296068320 = 25325205603
BaseRepresentation
bin10001101001011…
…010010011100000
3202122002211101100
4101221122103200
51101243141240
645213434400
710223352642
oct2151322340
9678084340
10296068320
11142139569
128319ba00
1349452372
142b46c892
151aed3e30
hex11a5a4e0

296068320 has 72 divisors (see below), whose sum is σ = 1010338056. Its totient is φ = 78951168.

The previous prime is 296068309. The next prime is 296068343. The reversal of 296068320 is 23860692.

296068320 is a `hidden beast` number, since 29 + 606 + 8 + 3 + 20 = 666.

296068320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101362 + ... + 104241.

It is an arithmetic number, because the mean of its divisors is an integer number (14032473).

Almost surely, 2296068320 is an apocalyptic number.

296068320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

296068320 is an abundant number, since it is smaller than the sum of its proper divisors (714269736).

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

296068320 is a wasteful number, since it uses less digits than its factorization.

296068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205624 (or 205613 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 296068320 is about 17206.6359291989. The cubic root of 296068320 is about 666.4956405733.

The spelling of 296068320 in words is "two hundred ninety-six million, sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 205603 411206 616809 822412 1028015 1233618 1644824 1850427 2056030 2467236 3084045 3289648 3700854 4112060 4934472 6168090 6579296 7401708 8224120 9252135 9868944 12336180 14803416 16448240 18504270 19737888 24672360 29606832 32896480 37008540 49344720 59213664 74017080 98689440 148034160 296068320