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376324416 = 263213291733
BaseRepresentation
bin10110011011100…
…100000101000000
3222020010021001100
4112123210011000
51232314340131
6101201534400
712216463506
oct2633440500
9866107040
10376324416
11183475116
12a6044400
135cc72190
1437da0676
15230887e6
hex166e4140

376324416 has 168 divisors, whose sum is σ = 1202390280. Its totient is φ = 111734784.

The previous prime is 376324397. The next prime is 376324423. The reversal of 376324416 is 614423673.

It is a happy number.

376324416 is a `hidden beast` number, since 3 + 7 + 632 + 4 + 4 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12278016 + 364046400 = 3504^2 + 19080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 216286 + ... + 218018.

It is an arithmetic number, because the mean of its divisors is an integer number (7157085).

Almost surely, 2376324416 is an apocalyptic number.

376324416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601195140).

376324416 is an abundant number, since it is smaller than the sum of its proper divisors (826065864).

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

376324416 is a wasteful number, since it uses less digits than its factorization.

376324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1780 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 376324416 is about 19399.0828649192. The cubic root of 376324416 is about 721.9727380789.

The spelling of 376324416 in words is "three hundred seventy-six million, three hundred twenty-four thousand, four hundred sixteen".