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326386368 = 26337112223
BaseRepresentation
bin10011011101000…
…100001011000000
3211202011010221000
4103131010023000
51132023330433
652215332000
711042144520
oct2335041300
9752133830
10326386368
11158266a00
1291381000
1352809039
14314c1680
151d9c2113
hex137442c0

326386368 has 336 divisors, whose sum is σ = 1210746880. Its totient is φ = 84395520.

The previous prime is 326386337. The next prime is 326386373. The reversal of 326386368 is 863683623.

326386368 is a `hidden beast` number, since 3 + 2 + 6 + 3 + 8 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3263863682 = 213056122432462848, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463505 + ... + 1463727.

Almost surely, 2326386368 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 326386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605373440).

326386368 is an abundant number, since it is smaller than the sum of its proper divisors (884360512).

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

326386368 is a wasteful number, since it uses less digits than its factorization.

326386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 326386368 is about 18066.1663891375. The cubic root of 326386368 is about 688.5106628752.

The spelling of 326386368 in words is "three hundred twenty-six million, three hundred eighty-six thousand, three hundred sixty-eight".