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312443334 = 23271926869
BaseRepresentation
bin10010100111111…
…000000111000110
3210202220202200100
4102213320013012
51114441141314
651000424530
710512503340
oct2247700706
9722822610
10312443334
11150403335
1288778146
134c966818
142d6d2290
151c66ac09
hex129f81c6

312443334 has 72 divisors (see below), whose sum is σ = 816650640. Its totient is φ = 84558816.

The previous prime is 312443279. The next prime is 312443347. The reversal of 312443334 is 433344213.

It is a super-2 number, since 2×3124433342 = 195241673922071112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312443298 and 312443307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42052 + ... + 48920.

It is an arithmetic number, because the mean of its divisors is an integer number (11342370).

Almost surely, 2312443334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312443334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408325320).

312443334 is an abundant number, since it is smaller than the sum of its proper divisors (504207306).

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

312443334 is a wasteful number, since it uses less digits than its factorization.

312443334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6922 (or 6900 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 312443334 is about 17676.0667004852. The cubic root of 312443334 is about 678.5633842856.

Adding to 312443334 its reverse (433344213), we get a palindrome (745787547).

The spelling of 312443334 in words is "three hundred twelve million, four hundred forty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 361 399 722 798 1083 1197 2166 2394 2527 3249 5054 6498 6869 7581 13738 15162 20607 22743 41214 45486 48083 61821 96166 123642 130511 144249 261022 288498 391533 432747 783066 865494 913577 1174599 1827154 2349198 2479709 2740731 4959418 5481462 7439127 8222193 14878254 16444386 17357963 22317381 34715926 44634762 52073889 104147778 156221667 312443334