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378680832 = 293423397
BaseRepresentation
bin10110100100100…
…011011000000000
3222101112222110000
4112210203120000
51233420241312
6101324240000
712245506515
oct2644433000
9871488400
10378680832
11184834572
12a69a0000
13605b88ca
143841530c
15233a1adc
hex16923600

378680832 has 200 divisors, whose sum is σ = 1182375216. Its totient is φ = 120434688.

The previous prime is 378680807. The next prime is 378680837. The reversal of 378680832 is 238086873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378680837) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 953658 + ... + 954054.

Almost surely, 2378680832 is an apocalyptic number.

378680832 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 378680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591187608).

378680832 is an abundant number, since it is smaller than the sum of its proper divisors (803694384).

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

378680832 is an equidigital number, since it uses as much as digits as its factorization.

378680832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 378680832 is about 19459.7233279407. The cubic root of 378680832 is about 723.4765199394.

The spelling of 378680832 in words is "three hundred seventy-eight million, six hundred eighty thousand, eight hundred thirty-two".