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326612328 = 233723181467
BaseRepresentation
bin10011011101111…
…011010101101000
3211202120121212220
4103131323111220
51132103043303
652224234040
711044105350
oct2335732550
9752517786
10326612328
11158400749
129146b920
1352887b43
143153db60
151da19053
hex1377b568

326612328 has 128 divisors (see below), whose sum is σ = 981227520. Its totient is φ = 88577280.

The previous prime is 326612327. The next prime is 326612329. The reversal of 326612328 is 823216623.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (326612327) and next prime (326612329).

It is a super-2 number, since 2×3266123282 = 213351225603159168, which contains 22 as substring.

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 (326612327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699151 + ... + 699617.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2326612328 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 326612328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490613760).

326612328 is an abundant number, since it is smaller than the sum of its proper divisors (654615192).

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

326612328 is a wasteful number, since it uses less digits than its factorization.

326612328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 683 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 326612328 is about 18072.4189858469. The cubic root of 326612328 is about 688.6695134444.

The spelling of 326612328 in words is "three hundred twenty-six million, six hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 181 184 276 322 362 467 483 543 552 644 724 934 966 1086 1267 1288 1401 1448 1868 1932 2172 2534 2802 3269 3736 3801 3864 4163 4344 5068 5604 6538 7602 8326 9807 10136 10741 11208 12489 13076 15204 16652 19614 21482 24978 26152 29141 30408 32223 33304 39228 42964 49956 58282 64446 75187 78456 84527 85928 87423 99912 116564 128892 150374 169054 174846 225561 233128 253581 257784 300748 338108 349692 451122 507162 591689 601496 676216 699384 902244 1014324 1183378 1775067 1804488 1944121 2028648 2366756 3550134 3888242 4733512 5832363 7100268 7776484 11664726 13608847 14200536 15552968 23329452 27217694 40826541 46658904 54435388 81653082 108870776 163306164 326612328