Search a number
-
+
326337930 = 233531127307
BaseRepresentation
bin10011011100111…
…000010110001010
3211202001200111000
4103130320112022
51132020303210
652214315430
711041553352
oct2334702612
9752050430
10326337930
11158233576
1291358b76
13527bcc89
14314abb62
151d9b2ac0
hex1373858a

326337930 has 128 divisors (see below), whose sum is σ = 908328960. Its totient is φ = 83280960.

The previous prime is 326337919. The next prime is 326337931. The reversal of 326337930 is 39733623.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (326337931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062837 + ... + 1063143.

It is an arithmetic number, because the mean of its divisors is an integer number (7096320).

Almost surely, 2326337930 is an apocalyptic number.

326337930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 326337930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454164480).

326337930 is an abundant number, since it is smaller than the sum of its proper divisors (581991030).

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

326337930 is a wasteful number, since it uses less digits than its factorization.

326337930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 36.

The square root of 326337930 is about 18064.8257672196. The cubic root of 326337930 is about 688.4766012714.

The spelling of 326337930 in words is "three hundred twenty-six million, three hundred thirty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 127 135 155 186 254 270 279 307 310 381 465 558 614 635 762 837 921 930 1143 1270 1395 1535 1674 1842 1905 2286 2763 2790 3070 3429 3810 3937 4185 4605 5526 5715 6858 7874 8289 8370 9210 9517 11430 11811 13815 16578 17145 19034 19685 23622 27630 28551 34290 35433 38989 39370 41445 47585 57102 59055 70866 77978 82890 85653 95170 106299 116967 118110 142755 171306 177165 194945 212598 233934 256959 285510 350901 354330 389890 428265 513918 531495 584835 701802 856530 1052703 1062990 1169670 1208659 1284795 1754505 2105406 2417318 2569590 3509010 3625977 5263515 6043295 7251954 10527030 10877931 12086590 18129885 21755862 32633793 36259770 54389655 65267586 108779310 163168965 326337930