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379737216 = 27323759151
BaseRepresentation
bin10110101000100…
…101010010000000
3222110112122112100
4112220211102000
51234203042331
6101403030400
712260466405
oct2650452200
9873478470
10379737216
11185396211
12a720b400
13608986a1
143860c2ac
152350eae6
hex16a25480

379737216 has 192 divisors, whose sum is σ = 1148846400. Its totient is φ = 120268800.

The previous prime is 379737187. The next prime is 379737227. The reversal of 379737216 is 612737973.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (333396) is a multiple of the sum of its prime divisors (252).

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, 2514741 + ... + 2514891.

It is an arithmetic number, because the mean of its divisors is an integer number (5983575).

Almost surely, 2379737216 is an apocalyptic number.

379737216 is a gapful number since it is divisible by the number (36) 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 379737216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574423200).

379737216 is an abundant number, since it is smaller than the sum of its proper divisors (769109184).

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

379737216 is a wasteful number, since it uses less digits than its factorization.

379737216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The square root of 379737216 is about 19486.8472565472. The cubic root of 379737216 is about 724.1486421911.

The spelling of 379737216 in words is "three hundred seventy-nine million, seven hundred thirty-seven thousand, two hundred sixteen".