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379409472 = 263213232203
BaseRepresentation
bin10110100111010…
…101010001000000
3222102220222221200
4112213111101000
51234112100342
6101352021200
712254633031
oct2647252100
9872828850
10379409472
11185191a52
12a7091800
13607b2460
1438564a88
152349794c
hex169d5440

379409472 has 168 divisors, whose sum is σ = 1222638144. Its totient is φ = 111614976.

The previous prime is 379409431. The next prime is 379409473. The reversal of 379409472 is 274904973.

It is not an unprimeable number, because it can be changed into a prime (379409473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171123 + ... + 173325.

It is an arithmetic number, because the mean of its divisors is an integer number (7277608).

Almost surely, 2379409472 is an apocalyptic number.

379409472 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 379409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611319072).

379409472 is an abundant number, since it is smaller than the sum of its proper divisors (843228672).

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

379409472 is a wasteful number, since it uses less digits than its factorization.

379409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 379409472 is about 19478.4360768518. The cubic root of 379409472 is about 723.9402492330.

The spelling of 379409472 in words is "three hundred seventy-nine million, four hundred nine thousand, four hundred seventy-two".