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3138384408 = 2332329196051
BaseRepresentation
bin1011101100001111…
…1111001000011000
322002201102110001120
42323003333020120
522411411300113
61235230245240
7140525553525
oct27303771030
98081373046
103138384408
111370599725
12737056820
133b02773c3
1421ab4a14c
151357cba23
hexbb0ff218

3138384408 has 64 divisors (see below), whose sum is σ = 8469446400. Its totient is φ = 966134400.

The previous prime is 3138384377. The next prime is 3138384421. The reversal of 3138384408 is 8044838313.

It is a super-3 number, since 3×31383844083 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3138384408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82018 + ... + 114033.

It is an arithmetic number, because the mean of its divisors is an integer number (132335100).

Almost surely, 23138384408 is an apocalyptic number.

It is an amenable number.

3138384408 is an abundant number, since it is smaller than the sum of its proper divisors (5331061992).

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

3138384408 is a wasteful number, since it uses less digits than its factorization.

3138384408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196112 (or 196108 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3138384408 is about 56021.2853119241. The cubic root of 3138384408 is about 1464.0931627238.

The spelling of 3138384408 in words is "three billion, one hundred thirty-eight million, three hundred eighty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 5336 8004 16008 196051 392102 588153 784204 1176306 1568408 2352612 4509173 4705224 5685479 9018346 11370958 13527519 17056437 18036692 22741916 27055038 34112874 36073384 45483832 54110076 68225748 108220152 130766017 136451496 261532034 392298051 523064068 784596102 1046128136 1569192204 3138384408