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243996312 = 23375367409
BaseRepresentation
bin11101000101100…
…01011010011000
3122000010022000110
432202301122120
5444430340222
640113404320
76021635340
oct1642613230
9560108013
10243996312
1111580304a
12698696a0
133b71cb21
1424595d20
151664a30c
hexe8b1698

243996312 has 128 divisors (see below), whose sum is σ = 722649600. Its totient is φ = 67212288.

The previous prime is 243996299. The next prime is 243996367. The reversal of 243996312 is 213699342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596364 + ... + 596772.

It is an arithmetic number, because the mean of its divisors is an integer number (5645700).

Almost surely, 2243996312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243996312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361324800).

243996312 is an abundant number, since it is smaller than the sum of its proper divisors (478653288).

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

243996312 is a wasteful number, since it uses less digits than its factorization.

243996312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 243996312 is about 15620.3813013639. The cubic root of 243996312 is about 624.8768286344.

The spelling of 243996312 in words is "two hundred forty-three million, nine hundred ninety-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 67 84 106 134 159 168 201 212 268 318 371 402 409 424 469 536 636 742 804 818 938 1113 1227 1272 1407 1484 1608 1636 1876 2226 2454 2814 2863 2968 3272 3551 3752 4452 4908 5628 5726 7102 8589 8904 9816 10653 11256 11452 14204 17178 21306 21677 22904 24857 27403 28408 34356 42612 43354 49714 54806 65031 68712 74571 82209 85224 86708 99428 109612 130062 149142 151739 164418 173416 191821 198856 219224 260124 298284 303478 328836 383642 455217 520248 575463 596568 606956 657672 767284 910434 1150926 1213912 1452359 1534568 1820868 2301852 2904718 3641736 4357077 4603704 5809436 8714154 10166513 11618872 17428308 20333026 30499539 34856616 40666052 60999078 81332104 121998156 243996312