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243121896 = 233217307647
BaseRepresentation
bin11100111110110…
…11111011101000
3121221110212112200
432133123323220
5444214400041
640042540200
76011334123
oct1637337350
9557425480
10243121896
11115266096
1269507660
133b4a4b14
14244093ba
15165261b6
hexe7dbee8

243121896 has 96 divisors (see below), whose sum is σ = 700539840. Its totient is φ = 75907584.

The previous prime is 243121861. The next prime is 243121903. The reversal of 243121896 is 698121342.

243121896 is a `hidden beast` number, since 2 + 431 + 218 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 243121896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375445 + ... + 376091.

It is an arithmetic number, because the mean of its divisors is an integer number (7297290).

Almost surely, 2243121896 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 243121896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350269920).

243121896 is an abundant number, since it is smaller than the sum of its proper divisors (457417944).

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

243121896 is a wasteful number, since it uses less digits than its factorization.

243121896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 976 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 243121896 is about 15592.3665939459. The cubic root of 243121896 is about 624.1294726410.

The spelling of 243121896 in words is "two hundred forty-three million, one hundred twenty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 307 408 612 614 647 921 1224 1228 1294 1842 1941 2456 2588 2763 3684 3882 5176 5219 5526 5823 7368 7764 10438 10999 11052 11646 15528 15657 20876 21998 22104 23292 31314 32997 41752 43996 46584 46971 62628 65994 87992 93942 98991 125256 131988 187884 197982 198629 263976 375768 395964 397258 595887 791928 794516 1191774 1589032 1787661 2383548 3376693 3575322 4767096 6753386 7150644 10130079 13506772 14301288 20260158 27013544 30390237 40520316 60780474 81040632 121560948 243121896