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379621440 = 263251123521
BaseRepresentation
bin10110101000001…
…001000001000000
3222110022202201100
4112220021001000
51234140341230
6101400334400
712256505022
oct2650110100
9873282640
10379621440
11185317230
12a7174400
1360857a93
14385bc012
15234da660
hex16a09040

379621440 has 336 divisors, whose sum is σ = 1489228416. Its totient is φ = 87859200.

The previous prime is 379621423. The next prime is 379621453. The reversal of 379621440 is 44126973.

It is a super-2 number, since 2×3796214402 = 288224875415347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 379621395 and 379621404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728380 + ... + 728900.

Almost surely, 2379621440 is an apocalyptic number.

379621440 is a gapful number since it is divisible by the number (30) 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 379621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744614208).

379621440 is an abundant number, since it is smaller than the sum of its proper divisors (1109606976).

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

379621440 is a wasteful number, since it uses less digits than its factorization.

379621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 379621440 is about 19483.8764110225. The cubic root of 379621440 is about 724.0750408061.

The spelling of 379621440 in words is "three hundred seventy-nine million, six hundred twenty-one thousand, four hundred forty".