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243434004 = 2231119293347
BaseRepresentation
bin11101000001010…
…00001000010100
3121222001201200020
432200220020110
5444304342004
640053345140
76014104062
oct1640501024
9558051606
10243434004
11115459630
12696381b0
133b583bb8
142448b032
15165888d9
hexe828214

243434004 has 96 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 67455360.

The previous prime is 243434003. The next prime is 243434017. The reversal of 243434004 is 400434342.

It is a happy number.

It is a super-2 number, since 2×2434340042 = 118520228606944032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243434003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71059 + ... + 74405.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2243434004 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 243434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

243434004 is an abundant number, since it is smaller than the sum of its proper divisors (431522796).

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

243434004 is a wasteful number, since it uses less digits than its factorization.

243434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 243434004 is about 15602.3717427832. The cubic root of 243434004 is about 624.3964340674.

Adding to 243434004 its reverse (400434342), we get a palindrome (643868346).

The spelling of 243434004 in words is "two hundred forty-three million, four hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 29 33 38 44 57 58 66 76 87 114 116 132 174 209 228 319 348 418 551 627 638 836 957 1102 1254 1276 1653 1914 2204 2508 3306 3347 3828 6061 6612 6694 10041 12122 13388 18183 20082 24244 36366 36817 40164 63593 72732 73634 97063 110451 127186 147268 190779 194126 220902 254372 291189 381558 388252 441804 582378 699523 763116 1067693 1164756 1399046 1844197 2098569 2135386 2798092 3203079 3688394 4197138 4270772 5532591 6406158 7376788 8394276 11065182 12812316 20286167 22130364 40572334 60858501 81144668 121717002 243434004