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376381152 = 253272149179
BaseRepresentation
bin10110011011110…
…001111011100000
3222020020010212200
4112123301323200
51232323144102
6101203053200
712220121100
oct2633617340
9866203780
10376381152
11183503804
12a6071200
135cc91c54
1437db7200
152309a51c
hex166f1ee0

376381152 has 216 divisors, whose sum is σ = 1260441000. Its totient is φ = 106219008.

The previous prime is 376381147. The next prime is 376381231. The reversal of 376381152 is 251183673.

376381152 is a `hidden beast` number, since 3 + 7 + 638 + 1 + 15 + 2 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2102599 + ... + 2102777.

It is an arithmetic number, because the mean of its divisors is an integer number (5835375).

Almost surely, 2376381152 is an apocalyptic number.

376381152 is a gapful number since it is divisible by the number (32) 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 376381152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630220500).

376381152 is an abundant number, since it is smaller than the sum of its proper divisors (884059848).

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

376381152 is a wasteful number, since it uses less digits than its factorization.

376381152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 376381152 is about 19400.5451469798. The cubic root of 376381152 is about 722.0090186436.

The spelling of 376381152 in words is "three hundred seventy-six million, three hundred eighty-one thousand, one hundred fifty-two".