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376505376 = 2531329101103
BaseRepresentation
bin10110011100010…
…000010000100000
3222020110110021120
4112130100100200
51232341133001
6101205452240
712221146212
oct2634202040
9866413246
10376505376
11183589075
12a6111080
1360006660
143800a5b2
15230c2236
hex16710420

376505376 has 192 divisors, whose sum is σ = 1122750720. Its totient is φ = 109670400.

The previous prime is 376505357. The next prime is 376505407. The reversal of 376505376 is 673505673.

376505376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3655341 + ... + 3655443.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2376505376 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 376505376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561375360).

376505376 is an abundant number, since it is smaller than the sum of its proper divisors (746245344).

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

376505376 is a wasteful number, since it uses less digits than its factorization.

376505376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 42.

The square root of 376505376 is about 19403.7464423755. The cubic root of 376505376 is about 722.0884425487.

The spelling of 376505376 in words is "three hundred seventy-six million, five hundred five thousand, three hundred seventy-six".