Search a number
-
+
379470144 = 2638112437
BaseRepresentation
bin10110100111100…
…100000101000000
3222110001002011210
4112213210011000
51234121021034
6101353210120
712255304644
oct2647440500
9873032153
10379470144
11185223599
12a7100940
1360803c61
143857cc24
15234aa8e9
hex169e4140

379470144 has 56 divisors (see below), whose sum is σ = 1005665248. Its totient is φ = 126282240.

The previous prime is 379470121. The next prime is 379470193. The reversal of 379470144 is 441074973.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 154494 + ... + 156930.

It is an arithmetic number, because the mean of its divisors is an integer number (17958308).

Almost surely, 2379470144 is an apocalyptic number.

It is an amenable number.

379470144 is an abundant number, since it is smaller than the sum of its proper divisors (626195104).

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

379470144 is a wasteful number, since it uses less digits than its factorization.

379470144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 379470144 is about 19479.9934291570. The cubic root of 379470144 is about 723.9788360062.

The spelling of 379470144 in words is "three hundred seventy-nine million, four hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 811 1622 2433 2437 3244 4866 4874 6488 7311 9732 9748 12976 14622 19464 19496 25952 29244 38928 38992 51904 58488 77856 77984 116976 155712 155968 233952 467904 1976407 3952814 5929221 7905628 11858442 15811256 23716884 31622512 47433768 63245024 94867536 126490048 189735072 379470144