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313811442 = 23375914071
BaseRepresentation
bin10010101101000…
…110000111110010
3210212111021101000
4102231012013302
51120313431232
651050022430
710530232110
oct2255060762
9725437330
10313811442
111511581aa
1289117a16
1350025459
142d96aab0
151c83b27c
hex12b461f2

313811442 has 64 divisors (see below), whose sum is σ = 810547200. Its totient is φ = 88134480.

The previous prime is 313811441. The next prime is 313811453. The reversal of 313811442 is 244118313.

It is a super-2 number, since 2×3138114422 = 196955242260238728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (313811441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15267 + ... + 29337.

It is an arithmetic number, because the mean of its divisors is an integer number (12664800).

Almost surely, 2313811442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313811442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405273600).

313811442 is an abundant number, since it is smaller than the sum of its proper divisors (496735758).

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

313811442 is a wasteful number, since it uses less digits than its factorization.

313811442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14148 (or 14142 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 313811442 is about 17714.7238759175. The cubic root of 313811442 is about 679.5523596530.

Adding to 313811442 its reverse (244118313), we get a palindrome (557929755).

It can be divided in two parts, 31381 and 1442, that added together give a palindrome (32823).

The spelling of 313811442 in words is "three hundred thirteen million, eight hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 413 531 826 1062 1239 1593 2478 3186 3717 7434 11151 14071 22302 28142 42213 84426 98497 126639 196994 253278 295491 379917 590982 759834 830189 886473 1660378 1772946 2490567 2659419 4981134 5318838 5811323 7471701 11622646 14943402 17433969 22415103 34867938 44830206 52301907 104603814 156905721 313811442