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323440668 = 223343257271
BaseRepresentation
bin10011010001110…
…101000000011100
3211112121111012000
4103101311000130
51130300100133
652032242300
711005125465
oct2321650034
9745544160
10323440668
11156634841
12903a0390
1352017315
1430d55d6c
151d5de413
hex1347501c

323440668 has 96 divisors (see below), whose sum is σ = 864568320. Its totient is φ = 104509440.

The previous prime is 323440661. The next prime is 323440669. The reversal of 323440668 is 866044323.

It is a happy number.

It is a super-2 number, since 2×3234406682 = 209227731432572448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323440661) 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, 1193373 + ... + 1193643.

It is an arithmetic number, because the mean of its divisors is an integer number (9005920).

Almost surely, 2323440668 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 323440668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432284160).

323440668 is an abundant number, since it is smaller than the sum of its proper divisors (541127652).

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

323440668 is a wasteful number, since it uses less digits than its factorization.

323440668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 323440668 is about 17984.4562886955. The cubic root of 323440668 is about 686.4330862089.

The spelling of 323440668 in words is "three hundred twenty-three million, four hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 257 258 271 387 514 516 542 771 774 813 1028 1084 1161 1542 1548 1626 2313 2322 2439 3084 3252 4626 4644 4878 6939 7317 9252 9756 11051 11653 13878 14634 22102 23306 27756 29268 33153 34959 44204 46612 66306 69647 69918 99459 104877 132612 139294 139836 198918 208941 209754 278588 298377 314631 397836 417882 419508 596754 626823 629262 835764 1193508 1253646 1258524 1880469 2507292 2994821 3760938 5989642 7521876 8984463 11979284 17968926 26953389 35937852 53906778 80860167 107813556 161720334 323440668