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313219998 = 232713434447
BaseRepresentation
bin10010101010110…
…101101110011110
3210211101020001200
4102222311232132
51120141014443
651025220330
710522216560
oct2252655636
9724336050
10313219998
11150893903
1288a916a6
134cb791a0
142d855330
151c770dd3
hex12ab5b9e

313219998 has 96 divisors (see below), whose sum is σ = 854870016. Its totient is φ = 80668224.

The previous prime is 313219969. The next prime is 313220009. The reversal of 313219998 is 899912313.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68211 + ... + 72657.

It is an arithmetic number, because the mean of its divisors is an integer number (8904896).

Almost surely, 2313219998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313219998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427435008).

313219998 is an abundant number, since it is smaller than the sum of its proper divisors (541650018).

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

313219998 is a wasteful number, since it uses less digits than its factorization.

313219998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4515 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 313219998 is about 17698.0224318990. The cubic root of 313219998 is about 679.1251711400.

The spelling of 313219998 in words is "three hundred thirteen million, two hundred nineteen thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 63 78 86 91 117 126 129 182 234 258 273 301 387 546 559 602 774 819 903 1118 1638 1677 1806 2709 3354 3913 4447 5031 5418 7826 8894 10062 11739 13341 23478 26682 31129 35217 40023 57811 62258 70434 80046 93387 115622 173433 186774 191221 280161 346866 382442 404677 520299 560322 573663 809354 1040598 1147326 1214031 1338547 1720989 2428062 2485873 2677094 3441978 3642093 4015641 4971746 7284186 7457619 8031282 12046923 14915238 17401111 22372857 24093846 34802222 44745714 52203333 104406666 156609999 313219998