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309941316 = 22343492741
BaseRepresentation
bin10010011110010…
…101010001000100
3210121012122120000
4102132111101010
51113321110231
650431041300
710452312666
oct2236252104
9717178500
10309941316
11149a54553
1287970230
134c29ba39
142d240536
151c3246e6
hex12795444

309941316 has 60 divisors (see below), whose sum is σ = 812865900. Its totient is φ = 102980160.

The previous prime is 309941279. The next prime is 309941327. The reversal of 309941316 is 613149903.

309941316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 160123716 + 149817600 = 12654^2 + 12240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111706 + ... + 114446.

It is an arithmetic number, because the mean of its divisors is an integer number (13547765).

Almost surely, 2309941316 is an apocalyptic number.

309941316 is a gapful number since it is divisible by the number (36) 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 309941316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406432950).

309941316 is an abundant number, since it is smaller than the sum of its proper divisors (502924584).

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

309941316 is a wasteful number, since it uses less digits than its factorization.

309941316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 309941316 is about 17605.1502691684. The cubic root of 309941316 is about 676.7472363423.

The spelling of 309941316 in words is "three hundred nine million, nine hundred forty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 349 698 1047 1396 2094 2741 3141 4188 5482 6282 8223 9423 10964 12564 16446 18846 24669 28269 32892 37692 49338 56538 74007 98676 113076 148014 222021 296028 444042 888084 956609 1913218 2869827 3826436 5739654 8609481 11479308 17218962 25828443 34437924 51656886 77485329 103313772 154970658 309941316