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326641968 = 243253127337
BaseRepresentation
bin10011011110000…
…010100100110000
3211202122010112200
4103132002210300
51132110020333
652225023200
711044260642
oct2336024460
9752563480
10326641968
11158420a44
1291484b00
1352898493
143154a892
151da22c13
hex13782930

326641968 has 120 divisors (see below), whose sum is σ = 941511168. Its totient is φ = 105670656.

The previous prime is 326641949. The next prime is 326641969. The reversal of 326641968 is 869146623.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (326641969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969096 + ... + 969432.

Almost surely, 2326641968 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 326641968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470755584).

326641968 is an abundant number, since it is smaller than the sum of its proper divisors (614869200).

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

326641968 is a wasteful number, since it uses less digits than its factorization.

326641968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 326641968 is about 18073.2390013522. The cubic root of 326641968 is about 688.6903450187.

The spelling of 326641968 in words is "three hundred twenty-six million, six hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 127 144 159 212 254 318 337 381 424 477 508 636 674 762 848 954 1011 1016 1143 1272 1348 1524 1908 2022 2032 2286 2544 2696 3033 3048 3816 4044 4572 5392 6066 6096 6731 7632 8088 9144 12132 13462 16176 17861 18288 20193 24264 26924 35722 40386 42799 48528 53583 53848 60579 71444 80772 85598 107166 107696 121158 128397 142888 160749 161544 171196 214332 242316 256794 285776 321498 323088 342392 385191 428664 484632 513588 642996 684784 770382 857328 969264 1027176 1285992 1540764 2054352 2268347 2571984 3081528 4536694 6163056 6805041 9073388 13610082 18146776 20415123 27220164 36293552 40830246 54440328 81660492 108880656 163320984 326641968