Search a number
-
+
376252032 = 273132329113
BaseRepresentation
bin10110011011010…
…010011010000000
3222012222120202110
4112123102122000
51232310031112
6101200215320
712216042462
oct2633223200
9865876673
10376252032
111834257a2
12a600a540
135cc48250
1437d82132
152307213c
hex166d2680

376252032 has 256 divisors, whose sum is σ = 1172102400. Its totient is φ = 105971712.

The previous prime is 376252013. The next prime is 376252033. The reversal of 376252032 is 230252673.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376252033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3329608 + ... + 3329720.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2376252032 is an apocalyptic number.

376252032 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 376252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200).

376252032 is an abundant number, since it is smaller than the sum of its proper divisors (795850368).

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

376252032 is a wasteful number, since it uses less digits than its factorization.

376252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 376252032 is about 19397.2171199891. The cubic root of 376252032 is about 721.9264459053.

The spelling of 376252032 in words is "three hundred seventy-six million, two hundred fifty-two thousand, thirty-two".