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313022430 = 232571134397
BaseRepresentation
bin10010101010000…
…101011111011110
3210211000012001100
4102222011133132
51120113204210
651021053530
710520434560
oct2252053736
9724005040
10313022430
11150769426
12889b72a6
134cb0a296
142d803330
151c7325c0
hex12a857de

313022430 has 96 divisors (see below), whose sum is σ = 938568384. Its totient is φ = 70898688.

The previous prime is 313022417. The next prime is 313022431. The reversal of 313022430 is 34220313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313022431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68992 + ... + 73388.

It is an arithmetic number, because the mean of its divisors is an integer number (9776754).

Almost surely, 2313022430 is an apocalyptic number.

313022430 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 313022430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469284192).

313022430 is an abundant number, since it is smaller than the sum of its proper divisors (625545954).

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

313022430 is a wasteful number, since it uses less digits than its factorization.

313022430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 313022430 is about 17692.4399108772. The cubic root of 313022430 is about 678.9823517978.

Adding to 313022430 its reverse (34220313), we get a palindrome (347242743).

The spelling of 313022430 in words is "three hundred thirteen million, twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 113 126 210 226 315 339 565 630 678 791 1017 1130 1582 1695 2034 2373 3390 3955 4397 4746 5085 7119 7910 8794 10170 11865 13191 14238 21985 23730 26382 30779 35595 39573 43970 61558 65955 71190 79146 92337 131910 153895 184674 197865 277011 307790 395730 461685 496861 554022 923370 993722 1385055 1490583 2484305 2770110 2981166 3478027 4471749 4968610 6956054 7452915 8943498 10434081 14905830 17390135 20868162 22358745 31302243 34780270 44717490 52170405 62604486 104340810 156511215 313022430