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313413450 = 23527421709
BaseRepresentation
bin10010101011100…
…100111101001010
3210211202001102120
4102223210331022
51120213212300
651033312110
710523653560
oct2253447512
9724661376
10313413450
11150a06189
1288b65636
134cc1625c
142d8a5a30
151c7ad3a0
hex12ae4f4a

313413450 has 96 divisors (see below), whose sum is σ = 891669120. Its totient is φ = 71366400.

The previous prime is 313413449. The next prime is 313413481. The reversal of 313413450 is 54314313.

It is a happy number.

313413450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 313413450.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441696 + ... + 442404.

It is an arithmetic number, because the mean of its divisors is an integer number (9288220).

Almost surely, 2313413450 is an apocalyptic number.

313413450 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 313413450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445834560).

313413450 is an abundant number, since it is smaller than the sum of its proper divisors (578255670).

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

313413450 is a wasteful number, since it uses less digits than its factorization.

313413450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 313413450 is about 17703.4869446671. The cubic root of 313413450 is about 679.2649568980.

Adding to 313413450 its reverse (54314313), we get a palindrome (367727763).

The spelling of 313413450 in words is "three hundred thirteen million, four hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 421 525 709 842 1050 1263 1418 2105 2127 2526 2947 3545 4210 4254 4963 5894 6315 7090 8841 9926 10525 10635 12630 14735 14889 17682 17725 21050 21270 24815 29470 29778 31575 35450 44205 49630 53175 63150 73675 74445 88410 106350 124075 147350 148890 221025 248150 298489 372225 442050 596978 744450 895467 1492445 1790934 2089423 2984890 4178846 4477335 6268269 7462225 8954670 10447115 12536538 14924450 20894230 22386675 31341345 44773350 52235575 62682690 104471150 156706725 313413450