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3278478564 = 223431812
BaseRepresentation
bin1100001101101001…
…1001110011100100
322110111000222010000
43003122121303210
523203242303224
61301153101300
7144146415354
oct30332316344
98414028100
103278478564
111432685519
12775b57830
134032b855a
142315b6b64
15142c510c9
hexc3699ce4

3278478564 has 45 divisors (see below), whose sum is σ = 8573285721. Its totient is φ = 1092482640.

The previous prime is 3278478529. The next prime is 3278478571. The reversal of 3278478564 is 4658748723.

The square root of 3278478564 is 57258.

It is a perfect power (a square), and thus also a powerful number.

3278478564 is a `hidden beast` number, since 3 + 2 + 7 + 8 + 4 + 78 + 564 = 666.

3278478564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 244672164 + 3033806400 = 15642^2 + 55080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3278478564.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1029054 + ... + 1032234.

Almost surely, 23278478564 is an apocalyptic number.

3278478564 is the 57258-th square number.

It is an amenable number.

3278478564 is an abundant number, since it is smaller than the sum of its proper divisors (5294807157).

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

3278478564 is an frugal number, since it uses more digits than its factorization.

3278478564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378 (or 3186 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The cubic root of 3278478564 is about 1485.5620033814.

The spelling of 3278478564 in words is "three billion, two hundred seventy-eight million, four hundred seventy-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3181 6362 9543 12724 19086 28629 38172 57258 85887 114516 171774 257661 343548 515322 1030644 10118761 20237522 30356283 40475044 60712566 91068849 121425132 182137698 273206547 364275396 546413094 819619641 1092826188 1639239282 3278478564