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268470984 = 23328373943
BaseRepresentation
bin10000000000001…
…000101011001000
3200201011201221210
4100000020223020
51022212032414
642350133120
76436652145
oct2000105310
9621151853
10268470984
111285aa251
1275ab11a0
134380bb92
14279273cc
1518881e59
hex10008ac8

268470984 has 32 divisors (see below), whose sum is σ = 671584320. Its totient is φ = 89436096.

The previous prime is 268470977. The next prime is 268470991. The reversal of 268470984 is 489074862.

268470984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268470977) and next prime (268470991).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66117 + ... + 70059.

It is an arithmetic number, because the mean of its divisors is an integer number (20987010).

Almost surely, 2268470984 is an apocalyptic number.

268470984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268470984 is an abundant number, since it is smaller than the sum of its proper divisors (403113336).

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

268470984 is a wasteful number, since it uses less digits than its factorization.

268470984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6785 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 268470984 is about 16385.0841926430. The cubic root of 268470984 is about 645.1080355059.

The spelling of 268470984 in words is "two hundred sixty-eight million, four hundred seventy thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 2837 3943 5674 7886 8511 11348 11829 15772 17022 22696 23658 31544 34044 47316 68088 94632 11186291 22372582 33558873 44745164 67117746 89490328 134235492 268470984