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313414050 = 235237149379
BaseRepresentation
bin10010101011100…
…101000110100010
3210211202002020210
4102223211012202
51120213222200
651033314550
710523655405
oct2253450642
9724662223
10313414050
11150a06684
1288b65a56
134cc16601
142d8a5d3c
151c7ad650
hex12ae51a2

313414050 has 96 divisors (see below), whose sum is σ = 805752000. Its totient is φ = 80559360.

The previous prime is 313413983. The next prime is 313414067. The reversal of 313414050 is 50414313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826761 + ... + 827139.

It is an arithmetic number, because the mean of its divisors is an integer number (8393250).

Almost surely, 2313414050 is an apocalyptic number.

313414050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313414050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402876000).

313414050 is an abundant number, since it is smaller than the sum of its proper divisors (492337950).

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

313414050 is a wasteful number, since it uses less digits than its factorization.

313414050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 313414050 is about 17703.5038904732. The cubic root of 313414050 is about 679.2653903602.

Adding to 313414050 its reverse (50414313), we get a palindrome (363828363).

The spelling of 313414050 in words is "three hundred thirteen million, four hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 149 150 185 222 298 370 379 447 555 745 758 894 925 1110 1137 1490 1850 1895 2235 2274 2775 3725 3790 4470 5513 5550 5685 7450 9475 11026 11175 11370 14023 16539 18950 22350 27565 28046 28425 33078 42069 55130 56471 56850 70115 82695 84138 112942 137825 140230 165390 169413 210345 275650 282355 338826 350575 413475 420690 564710 701150 826950 847065 1051725 1411775 1694130 2089427 2103450 2823550 4178854 4235325 6268281 8470650 10447135 12536562 20894270 31341405 52235675 62682810 104471350 156707025 313414050