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379887144 = 233713312181
BaseRepresentation
bin10110101001001…
…001111000101000
3222110211021012020
4112221021320220
51234222342034
6101410144440
712261662460
oct2651117050
9873737166
10379887144
1118548891a
12a7282120
136091b9c0
143864aba0
152353e249
hex16a49e28

379887144 has 192 divisors, whose sum is σ = 1214478720. Its totient is φ = 96422400.

The previous prime is 379887107. The next prime is 379887149. The reversal of 379887144 is 441788973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379887149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2098734 + ... + 2098914.

It is an arithmetic number, because the mean of its divisors is an integer number (6325410).

Almost surely, 2379887144 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 379887144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607239360).

379887144 is an abundant number, since it is smaller than the sum of its proper divisors (834591576).

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

379887144 is a wasteful number, since it uses less digits than its factorization.

379887144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 237 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 379887144 is about 19490.6937793399. The cubic root of 379887144 is about 724.2439325372.

The spelling of 379887144 in words is "three hundred seventy-nine million, eight hundred eighty-seven thousand, one hundred forty-four".