Search a number
-
+
379821744 = 2433532313
BaseRepresentation
bin10110101000111…
…001111010110000
3222110200221111000
4112220321322300
51234213243434
6101404522000
712261301011
oct2650717260
9873627430
10379821744
11185443775
12a7250300
13608c7cc3
1438631008
1523529b99
hex16a39eb0

379821744 has 120 divisors (see below), whose sum is σ = 1114737680. Its totient is φ = 123821568.

The previous prime is 379821737. The next prime is 379821751. The reversal of 379821744 is 447128973.

379821744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (379821737) and next prime (379821751).

It is a self number, because there is not a number n which added to its sum of digits gives 379821744.

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, 1213332 + ... + 1213644.

Almost surely, 2379821744 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 379821744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557368840).

379821744 is an abundant number, since it is smaller than the sum of its proper divisors (734915936).

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

379821744 is a wasteful number, since it uses less digits than its factorization.

379821744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 371 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 379821744 is about 19489.0159833687. The cubic root of 379821744 is about 724.2023690779.

The spelling of 379821744 in words is "three hundred seventy-nine million, eight hundred twenty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 313 318 424 432 477 626 636 848 939 954 1252 1272 1431 1878 1908 2504 2544 2809 2817 2862 3756 3816 5008 5618 5634 5724 7512 7632 8427 8451 11236 11268 11448 15024 16589 16854 16902 22472 22536 22896 25281 33178 33708 33804 44944 45072 49767 50562 66356 67416 67608 75843 99534 101124 132712 134832 135216 149301 151686 199068 202248 265424 298602 303372 398136 404496 447903 597204 606744 796272 879217 895806 1194408 1213488 1758434 1791612 2388816 2637651 3516868 3583224 5275302 7033736 7166448 7912953 10550604 14067472 15825906 21101208 23738859 31651812 42202416 47477718 63303624 94955436 126607248 189910872 379821744