Search a number
-
+
3138194304 = 27327389161
BaseRepresentation
bin1011101100001101…
…0000101110000000
322002201001210021200
42323003100232000
522411334204204
61235222221200
7140524132350
oct27303205600
98081053250
103138194304
111370479913
12736b84800
133b020ba0b
1421aadab60
15135790539
hexbb0d0b80

3138194304 has 96 divisors (see below), whose sum is σ = 10320576240. Its totient is φ = 896624640.

The previous prime is 3138194287. The next prime is 3138194347. The reversal of 3138194304 is 4034918313.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186517 + ... + 202644.

Almost surely, 23138194304 is an apocalyptic number.

It is an amenable number.

3138194304 is an abundant number, since it is smaller than the sum of its proper divisors (7182381936).

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

3138194304 is a wasteful number, since it uses less digits than its factorization.

3138194304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389188 (or 389173 counting only the distinct ones).

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

The square root of 3138194304 is about 56019.5885739979. The cubic root of 3138194304 is about 1464.0636002111.

The spelling of 3138194304 in words is "three billion, one hundred thirty-eight million, one hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 389161 778322 1167483 1556644 2334966 2724127 3113288 3502449 4669932 5448254 6226576 7004898 8172381 9339864 10896508 12453152 14009796 16344762 18679728 21793016 24517143 24906304 28019592 32689524 37359456 43586032 49034286 49812608 56039184 65379048 74718912 87172064 98068572 112078368 130758096 149437824 174344128 196137144 224156736 261516192 348688256 392274288 448313472 523032384 784548576 1046064768 1569097152 3138194304