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326532096 = 21032113221
BaseRepresentation
bin10011011101100…
…111110000000000
3211202102112211100
4103131213300000
51132043011341
652222414400
711043322422
oct2335476000
9752375740
10326532096
11158356440
1291431400
135285a477
143151c812
151da003b6
hex13767c00

326532096 has 132 divisors (see below), whose sum is σ = 1028887704. Its totient is φ = 98918400.

The previous prime is 326532079. The next prime is 326532131. The reversal of 326532096 is 690235623.

326532096 is a `hidden beast` number, since 32 + 6 + 532 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 326532096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99766 + ... + 102986.

Almost surely, 2326532096 is an apocalyptic number.

326532096 is a gapful number since it is divisible by the number (36) 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 326532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514443852).

326532096 is an abundant number, since it is smaller than the sum of its proper divisors (702355608).

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

326532096 is a wasteful number, since it uses less digits than its factorization.

326532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 326532096 is about 18070.1991134575. The cubic root of 326532096 is about 688.6131184948.

The spelling of 326532096 in words is "three hundred twenty-six million, five hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 3221 4224 4608 5632 6336 6442 8448 9216 9663 11264 12672 12884 16896 19326 25344 25768 28989 33792 35431 38652 50688 51536 57978 70862 77304 101376 103072 106293 115956 141724 154608 206144 212586 231912 283448 309216 318879 412288 425172 463824 566896 618432 637758 824576 850344 927648 1133792 1236864 1275516 1649152 1700688 1855296 2267584 2473728 2551032 3298304 3401376 3710592 4535168 4947456 5102064 6802752 7421184 9070336 9894912 10204128 13605504 14842368 18140672 20408256 27211008 29684736 36281344 40816512 54422016 81633024 108844032 163266048 326532096