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379490144 = 25116716091
BaseRepresentation
bin10110100111101…
…000111101100000
3222110002002121112
4112213220331200
51234122141034
6101353442452
712255420155
oct2647507540
9873062545
10379490144
11185237620
12a7110428
13608100a7
143858622c
15234b17ce
hex169e8f60

379490144 has 48 divisors (see below), whose sum is σ = 827257536. Its totient is φ = 169910400.

The previous prime is 379490141. The next prime is 379490147. The reversal of 379490144 is 441094973.

It is an interprime number because it is at equal distance from previous prime (379490141) and next prime (379490147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379490141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15539 + ... + 31629.

It is an arithmetic number, because the mean of its divisors is an integer number (17234532).

Almost surely, 2379490144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379490144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413628768).

379490144 is an abundant number, since it is smaller than the sum of its proper divisors (447767392).

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

379490144 is a wasteful number, since it uses less digits than its factorization.

379490144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16179 (or 16171 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 379490144 is about 19480.5067695889. The cubic root of 379490144 is about 723.9915549008.

The spelling of 379490144 in words is "three hundred seventy-nine million, four hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 737 1072 1474 2144 2948 5896 11792 16091 23584 32182 64364 128728 177001 257456 354002 514912 708004 1078097 1416008 2156194 2832016 4312388 5664032 8624776 11859067 17249552 23718134 34499104 47436268 94872536 189745072 379490144