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379173444 = 223132718969
BaseRepresentation
bin10110100110011…
…011101001000100
3222102111000011220
4112212123221010
51234032022234
6101343000340
712252630636
oct2646335104
9872430156
10379173444
11185040691
12a6b990b0
136072bbb0
1438502a56
152344ca49
hex1699ba44

379173444 has 48 divisors (see below), whose sum is σ = 956417280. Its totient is φ = 116225280.

The previous prime is 379173437. The next prime is 379173449. The reversal of 379173444 is 444371973.

379173444 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3791734443 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

379173444 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 379173396 and 379173405.

It is not an unprimeable number, because it can be changed into a prime (379173449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37792 + ... + 46760.

It is an arithmetic number, because the mean of its divisors is an integer number (19925360).

Almost surely, 2379173444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379173444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478208640).

379173444 is an abundant number, since it is smaller than the sum of its proper divisors (577243836).

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

379173444 is a wasteful number, since it uses less digits than its factorization.

379173444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260 (or 9258 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 379173444 is about 19472.3764343236. The cubic root of 379173444 is about 723.7900986908.

The spelling of 379173444 in words is "three hundred seventy-nine million, one hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 271 542 813 1084 1626 3252 3523 7046 8969 10569 14092 17938 21138 26907 35876 42276 53814 107628 116597 233194 349791 466388 699582 1399164 2430599 4861198 7291797 9722396 14583594 29167188 31597787 63195574 94793361 126391148 189586722 379173444