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312027156 = 223272295407
BaseRepresentation
bin10010100110010…
…010100000010100
3210202010121210100
4102212102200110
51114334332111
650543454100
710506121110
oct2246224024
9722117710
10312027156
11150149691
12885b7330
134c84c26c
142d624740
151c5d7756
hex12992814

312027156 has 72 divisors (see below), whose sum is σ = 905515520. Its totient is φ = 88744896.

The previous prime is 312027137. The next prime is 312027173. The reversal of 312027156 is 651720213.

It is a happy number.

It is a super-3 number, since 3×3120271563 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55005 + ... + 60411.

Almost surely, 2312027156 is an apocalyptic number.

312027156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312027156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452757760).

312027156 is an abundant number, since it is smaller than the sum of its proper divisors (593488364).

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

312027156 is a wasteful number, since it uses less digits than its factorization.

312027156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 312027156 is about 17664.2904188082. The cubic root of 312027156 is about 678.2619657537.

Adding to 312027156 its reverse (651720213), we get a palindrome (963747369).

It can be divided in two parts, 3120 and 27156, that added together give a square (30276 = 1742).

The spelling of 312027156 in words is "three hundred twelve million, twenty-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 229 252 458 687 916 1374 1603 2061 2748 3206 4122 4809 5407 6412 8244 9618 10814 14427 16221 19236 21628 28854 32442 37849 48663 57708 64884 75698 97326 113547 151396 194652 227094 340641 454188 681282 1238203 1362564 2476406 3714609 4952812 7429218 8667421 11143827 14858436 17334842 22287654 26002263 34669684 44575308 52004526 78006789 104009052 156013578 312027156