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323421240324 = 2237413863479
BaseRepresentation
bin1001011010011010110…
…10000111110000000100
31010220210210010022102110
410231031122013300010
520244331314142244
6404324435341020
732236452120000
oct4551532076004
91126723108373
10323421240324
11115186949866
1252821151770
13246632581b0
1411921963700
15862d97a9b9
hex4b4d687c04

323421240324 has 120 divisors (see below), whose sum is σ = 948094132160. Its totient is φ = 85297810752.

The previous prime is 323421240323. The next prime is 323421240341. The reversal of 323421240324 is 423042124323.

It is a junction number, because it is equal to n+sod(n) for n = 323421240291 and 323421240300.

It is not an unprimeable number, because it can be changed into a prime (323421240323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57184 + ... + 806295.

Almost surely, 2323421240324 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 323421240324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474047066080).

323421240324 is an abundant number, since it is smaller than the sum of its proper divisors (624672891836).

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

323421240324 is a wasteful number, since it uses less digits than its factorization.

323421240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863527 (or 863504 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 323421240324 its reverse (423042124323), we get a palindrome (746463364647).

The spelling of 323421240324 in words is "three hundred twenty-three billion, four hundred twenty-one million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 588 637 686 1029 1092 1274 1372 1911 2058 2401 2548 3822 4116 4459 4802 7203 7644 8918 9604 13377 14406 17836 26754 28812 31213 53508 62426 93639 124852 187278 374556 863479 1726958 2590437 3453916 5180874 6044353 10361748 11225227 12088706 18133059 22450454 24177412 33675681 36266118 42310471 44900908 67351362 72532236 78576589 84620942 126931413 134702724 157153178 169241884 235729767 253862826 296173297 314306356 471459534 507725652 550036123 592346594 888519891 942919068 1100072246 1184693188 1650108369 1777039782 2073213079 2200144492 3300216738 3554079564 3850252861 4146426158 6219639237 6600433476 7700505722 8292852316 11550758583 12439278474 15401011444 23101517166 24878556948 26951770027 46203034332 53903540054 80855310081 107807080108 161710620162 323421240324