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323993344 = 2817109683
BaseRepresentation
bin10011010011111…
…011111100000000
3211120122120022111
4103103323330000
51130420241334
652052145104
711012620003
oct2323737400
9746576274
10323993344
11156981aa4
1290608194
135217ba4c
143105b53a
151d69d064
hex134fbf00

323993344 has 72 divisors (see below), whose sum is σ = 692057520. Its totient is φ = 150847488.

The previous prime is 323993317. The next prime is 323993353. The reversal of 323993344 is 443399323.

It is a junction number, because it is equal to n+sod(n) for n = 323993297 and 323993306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474027 + ... + 474709.

It is an arithmetic number, because the mean of its divisors is an integer number (9611910).

Almost surely, 2323993344 is an apocalyptic number.

323993344 is a gapful number since it is divisible by the number (34) 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 323993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346028760).

323993344 is an abundant number, since it is smaller than the sum of its proper divisors (368064176).

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

323993344 is a wasteful number, since it uses less digits than its factorization.

323993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 811 counting only the distinct ones).

The product of its digits is 209952, while the sum is 40.

The square root of 323993344 is about 17999.8151101615. The cubic root of 323993344 is about 686.8238422788.

The spelling of 323993344 in words is "three hundred twenty-three million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 109 128 136 218 256 272 436 544 683 872 1088 1366 1744 1853 2176 2732 3488 3706 4352 5464 6976 7412 10928 11611 13952 14824 21856 23222 27904 29648 43712 46444 59296 74447 87424 92888 118592 148894 174848 185776 237184 297788 371552 474368 595576 743104 1191152 1265599 1486208 2382304 2531198 2972416 4764608 5062396 9529216 10124792 19058432 20249584 40499168 80998336 161996672 323993344