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311434422 = 2313291311051
BaseRepresentation
bin10010100100000…
…001110010110110
3210201000111201020
4102210001302312
51114211400142
650523042010
710501102035
oct2244016266
9721014636
10311434422
1114a884322
1288370306
134c6a2530
142d50c71c
151c51bcec
hex12901cb6

311434422 has 64 divisors (see below), whose sum is σ = 699874560. Its totient is φ = 91728000.

The previous prime is 311434411. The next prime is 311434433. The reversal of 311434422 is 224434113.

It is an interprime number because it is at equal distance from previous prime (311434411) and next prime (311434433).

It is a junction number, because it is equal to n+sod(n) for n = 311434392 and 311434401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295797 + ... + 296847.

It is an arithmetic number, because the mean of its divisors is an integer number (10935540).

Almost surely, 2311434422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311434422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349937280).

311434422 is an abundant number, since it is smaller than the sum of its proper divisors (388440138).

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

311434422 is a wasteful number, since it uses less digits than its factorization.

311434422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229.

The product of its digits is 2304, while the sum is 24.

The square root of 311434422 is about 17647.5046961320. The cubic root of 311434422 is about 677.8322128117.

Adding to 311434422 its reverse (224434113), we get a palindrome (535868535).

The spelling of 311434422 in words is "three hundred eleven million, four hundred thirty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 131 174 262 377 393 754 786 1051 1131 1703 2102 2262 3153 3406 3799 5109 6306 7598 10218 11397 13663 22794 27326 30479 40989 49387 60958 81978 91437 98774 137681 148161 182874 275362 296322 396227 413043 792454 826086 1188681 1789853 2377362 3579706 3992749 5369559 7985498 10739118 11978247 23956494 51905737 103811474 155717211 311434422