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290379380 = 225174791783
BaseRepresentation
bin10001010011101…
…101011001110100
3202020101210121212
4101103231121310
51043314120010
644451500552
710124120054
oct2123553164
9666353555
10290379380
11139a03365
12812b7758
134820cb25
142a7cb564
151a75d505
hex114ed674

290379380 has 48 divisors (see below), whose sum is σ = 647377920. Its totient is φ = 109029888.

The previous prime is 290379373. The next prime is 290379389. The reversal of 290379380 is 83973092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290379389) 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, 161969 + ... + 163751.

It is an arithmetic number, because the mean of its divisors is an integer number (13487040).

Almost surely, 2290379380 is an apocalyptic number.

290379380 is a gapful number since it is divisible by the number (20) 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 290379380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323688960).

290379380 is an abundant number, since it is smaller than the sum of its proper divisors (356998540).

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

290379380 is a wasteful number, since it uses less digits than its factorization.

290379380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 290379380 is about 17040.5217056286. The cubic root of 290379380 is about 662.1991076960.

The spelling of 290379380 in words is "two hundred ninety million, three hundred seventy-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 479 958 1783 1916 2395 3566 4790 7132 8143 8915 9580 16286 17830 30311 32572 35660 40715 60622 81430 121244 151555 162860 303110 606220 854057 1708114 3416228 4270285 8540570 14518969 17081140 29037938 58075876 72594845 145189690 290379380