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379938064 = 241124432
BaseRepresentation
bin10110101001010…
…110010100010000
3222110220212001011
4112221112110100
51234231004224
6101411220304
712262264102
oct2651262420
9873825034
10379938064
11185513100
12a72a7694
1360938c2c
1438661572
152354e394
hex16a56510

379938064 has 45 divisors (see below), whose sum is σ = 810965239. Its totient is φ = 172309280.

The previous prime is 379938059. The next prime is 379938071. The reversal of 379938064 is 460839973.

The square root of 379938064 is 19492.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 379937999 and 379938017.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 857427 + ... + 857869.

Almost surely, 2379938064 is an apocalyptic number.

379938064 is the 19492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379938064

379938064 is an abundant number, since it is smaller than the sum of its proper divisors (431027175).

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

379938064 is an equidigital number, since it uses as much as digits as its factorization.

379938064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The cubic root of 379938064 is about 724.2762902641.

Multiplying 379938064 by its sum of digits (49), we get a square (18616965136 = 1364442).

The spelling of 379938064 in words is "three hundred seventy-nine million, nine hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 443 484 886 968 1772 1936 3544 4873 7088 9746 19492 38984 53603 77968 107206 196249 214412 392498 428824 784996 857648 1569992 2158739 3139984 4317478 8634956 17269912 23746129 34539824 47492258 94984516 189969032 379938064