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379086084 = 223213810013
BaseRepresentation
bin10110100110000…
…110010100000100
3222102022120100100
4112212012110010
51234021223314
6101341044100
712252115146
oct2646062404
9872276310
10379086084
11184a90a93
12a6b56630
13606cb1c0
14384bcc96
1523431c09
hex16986504

379086084 has 36 divisors (see below), whose sum is σ = 1031957836. Its totient is φ = 116641728.

The previous prime is 379086083. The next prime is 379086089. The reversal of 379086084 is 480680973.

It is a happy number.

379086084 is a `hidden beast` number, since 37 + 9 + 0 + 8 + 608 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55086084 + 324000000 = 7422^2 + 18000^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (379086083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404539 + ... + 405474.

Almost surely, 2379086084 is an apocalyptic number.

It is an amenable number.

379086084 is an abundant number, since it is smaller than the sum of its proper divisors (652871752).

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

379086084 is a wasteful number, since it uses less digits than its factorization.

379086084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810036 (or 810031 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 379086084 is about 19470.1331274339. The cubic root of 379086084 is about 723.7345083353.

The spelling of 379086084 in words is "three hundred seventy-nine million, eighty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 810013 1620026 2430039 3240052 4860078 7290117 9720156 10530169 14580234 21060338 29160468 31590507 42120676 63181014 94771521 126362028 189543042 379086084