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313522430 = 25132324797
BaseRepresentation
bin10010101011111…
…111100011111110
3210211221120220212
4102223333203332
51120230204210
651035512422
710524616364
oct2253774376
9724846825
10313522430
11150a80051
1288bb8712
134cc53a40
142d8d3634
151c7d0805
hex12aff8fe

313522430 has 96 divisors (see below), whose sum is σ = 655530624. Its totient is φ = 107255808.

The previous prime is 313522427. The next prime is 313522441. The reversal of 313522430 is 34225313.

313522430 = T2980 + T2981 + ... + T3048.

It is a super-2 number, since 2×3135224302 = 196592628226209800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 313522396 and 313522405.

It is a congruent number.

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, 3232142 + ... + 3232238.

It is an arithmetic number, because the mean of its divisors is an integer number (6828444).

Almost surely, 2313522430 is an apocalyptic number.

313522430 is an abundant number, since it is smaller than the sum of its proper divisors (342008194).

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

313522430 is a wasteful number, since it uses less digits than its factorization.

313522430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 313522430 is about 17706.5646018645. The cubic root of 313522430 is about 679.3436790210.

Adding to 313522430 its reverse (34225313), we get a palindrome (347747743).

The spelling of 313522430 in words is "three hundred thirteen million, five hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 13 23 26 46 47 65 94 97 115 130 194 230 235 299 470 485 529 598 611 970 1058 1081 1222 1261 1495 2162 2231 2522 2645 2990 3055 4462 4559 5290 5405 6110 6305 6877 9118 10810 11155 12610 13754 14053 22310 22795 24863 28106 29003 34385 45590 49726 51313 58006 59267 68770 70265 102626 104857 118534 124315 140530 145015 209714 248630 256565 290030 296335 323219 513130 524285 592670 646438 667069 1048570 1334138 1363141 1616095 2411711 2726282 3232190 3335345 4823422 6670690 6815705 12058555 13631410 24117110 31352243 62704486 156761215 313522430