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378968832 = 28321119787
BaseRepresentation
bin10110100101101…
…001101100000000
3222102002121111200
4112211221230000
51234004000312
6101334341200
712251116254
oct2645515400
9872077450
10378968832
11184a10990
12a6aba800
1360689a18
143848c264
152340c0dc
hex16969b00

378968832 has 216 divisors, whose sum is σ = 1256324160. Its totient is φ = 108656640.

The previous prime is 378968809. The next prime is 378968873. The reversal of 378968832 is 238869873.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481143 + ... + 481929.

Almost surely, 2378968832 is an apocalyptic number.

378968832 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 378968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628162080).

378968832 is an abundant number, since it is smaller than the sum of its proper divisors (877355328).

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

378968832 is a wasteful number, since it uses less digits than its factorization.

378968832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 822 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 378968832 is about 19467.1218211630. The cubic root of 378968832 is about 723.6598831840.

The spelling of 378968832 in words is "three hundred seventy-eight million, nine hundred sixty-eight thousand, eight hundred thirty-two".