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379162944 = 263473141
BaseRepresentation
bin10110100110011…
…001000101000000
3222102110110210000
4112212121011000
51234031203234
6101342440000
712252555216
oct2646310500
9872413700
10379162944
11185033806
12a6b93000
1360727194
14384dccb6
1523449899
hex16999140

379162944 has 70 divisors (see below), whose sum is σ = 1123973114. Its totient is φ = 126385920.

The previous prime is 379162943. The next prime is 379162999. The reversal of 379162944 is 449261973.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 364046400 + 15116544 = 19080^2 + 3888^2 .

It is a super-3 number, since 3×3791629443 (a number of 27 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 379162944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379162943) 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 9 ways as a sum of consecutive naturals, for example, 31387 + ... + 41754.

Almost surely, 2379162944 is an apocalyptic number.

It is an amenable number.

379162944 is an abundant number, since it is smaller than the sum of its proper divisors (744810170).

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

379162944 is an equidigital number, since it uses as much as digits as its factorization.

379162944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73165 (or 73146 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 379162944 is about 19472.1068197563. The cubic root of 379162944 is about 723.7834176092.

The spelling of 379162944 in words is "three hundred seventy-nine million, one hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 73141 146282 219423 292564 438846 585128 658269 877692 1170256 1316538 1755384 1974807 2340512 2633076 3510768 3949614 4681024 5266152 5924421 7021536 7899228 10532304 11848842 14043072 15798456 21064608 23697684 31596912 42129216 47395368 63193824 94790736 126387648 189581472 379162944