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272378064 = 24372115807
BaseRepresentation
bin10000001111000…
…010100011010000
3200222112020110110
4100033002203100
51024212044224
643010001320
76515114100
oct2017024320
9628466413
10272378064
1112a828742
1277276240
134457936a
1428263200
1518da4929
hex103c28d0

272378064 has 60 divisors (see below), whose sum is σ = 818530944. Its totient is φ = 77821632.

The previous prime is 272378009. The next prime is 272378069. The reversal of 272378064 is 460873272.

272378064 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 not an unprimeable number, because it can be changed into a prime (272378069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55552 + ... + 60255.

Almost surely, 2272378064 is an apocalyptic number.

272378064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

272378064 is an abundant number, since it is smaller than the sum of its proper divisors (546152880).

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

272378064 is a wasteful number, since it uses less digits than its factorization.

272378064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115832 (or 115819 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 272378064 is about 16503.8802710151. The cubic root of 272378064 is about 648.2224126026. Note that the first 3 decimals are identical.

The spelling of 272378064 in words is "two hundred seventy-two million, three hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 115807 231614 347421 463228 694842 810649 926456 1389684 1621298 1852912 2431947 2779368 3242596 4863894 5558736 5674543 6485192 9727788 11349086 12970384 17023629 19455576 22698172 34047258 38911152 45396344 68094516 90792688 136189032 272378064