Search a number
-
+
326331840 = 26351917891
BaseRepresentation
bin10011011100110…
…110110111000000
3211202001101010110
4103130312313000
51132020104330
652214231320
711041526532
oct2334666700
9752041113
10326331840
11158229a3a
1291355540
13527ba283
14314a9852
151d9b0db0
hex13736dc0

326331840 has 112 divisors (see below), whose sum is σ = 1090696320. Its totient is φ = 82437120.

The previous prime is 326331839. The next prime is 326331869. The reversal of 326331840 is 48133623.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 326331798 and 326331807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9295 + ... + 27185.

It is an arithmetic number, because the mean of its divisors is an integer number (9738360).

Almost surely, 2326331840 is an apocalyptic number.

326331840 is a gapful number since it is divisible by the number (30) 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 326331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545348160).

326331840 is an abundant number, since it is smaller than the sum of its proper divisors (764364480).

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

326331840 is a wasteful number, since it uses less digits than its factorization.

326331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17930 (or 17920 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 326331840 is about 18064.6572068224. The cubic root of 326331840 is about 688.4723185446.

The spelling of 326331840 in words is "three hundred twenty-six million, three hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 17891 18240 35782 53673 71564 89455 107346 143128 178910 214692 268365 286256 339929 357820 429384 536730 572512 679858 715640 858768 1019787 1073460 1145024 1359716 1431280 1699645 1717536 2039574 2146920 2719432 2862560 3399290 3435072 4079148 4293840 5098935 5438864 5725120 6798580 8158296 8587680 10197870 10877728 13597160 16316592 17175360 20395740 21755456 27194320 32633184 40791480 54388640 65266368 81582960 108777280 163165920 326331840