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382345832 = 231116726017
BaseRepresentation
bin10110110010100…
…010001001101000
3222122110011212202
4112302202021220
51240340031312
6101534555332
712321612611
oct2662421150
9878404782
10382345832
111869080a0
12a8068b48
136129cb4b
1438acac08
15238779c2
hex16ca2268

382345832 has 32 divisors (see below), whose sum is σ = 786784320. Its totient is φ = 172746240.

The previous prime is 382345811. The next prime is 382345837. The reversal of 382345832 is 238543283.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (382345837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1688 + ... + 27704.

It is an arithmetic number, because the mean of its divisors is an integer number (24587010).

Almost surely, 2382345832 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 382345832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393392160).

382345832 is an abundant number, since it is smaller than the sum of its proper divisors (404438488).

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

382345832 is a wasteful number, since it uses less digits than its factorization.

382345832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26201 (or 26197 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 382345832 is about 19553.6654364342. The cubic root of 382345832 is about 725.8030464433.

The spelling of 382345832 in words is "three hundred eighty-two million, three hundred forty-five thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 167 334 668 1336 1837 3674 7348 14696 26017 52034 104068 208136 286187 572374 1144748 2289496 4344839 8689678 17379356 34758712 47793229 95586458 191172916 382345832