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326417104 = 24132331271
BaseRepresentation
bin10011011101001…
…011101011010000
3211202012201002101
4103131023223100
51132030321404
652220130144
711042333236
oct2335135320
9752181071
10326417104
11158288002
1291396954
135281a020
14314cc956
151d9cb2a4
hex1374bad0

326417104 has 120 divisors (see below), whose sum is σ = 744702336. Its totient is φ = 137491200.

The previous prime is 326417083. The next prime is 326417129. The reversal of 326417104 is 401714623.

326417104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4597389 + ... + 4597459.

Almost surely, 2326417104 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 326417104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372351168).

326417104 is an abundant number, since it is smaller than the sum of its proper divisors (418285232).

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

326417104 is a wasteful number, since it uses less digits than its factorization.

326417104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 326417104 is about 18067.0170199732. The cubic root of 326417104 is about 688.5322746841.

The spelling of 326417104 in words is "three hundred twenty-six million, four hundred seventeen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 31 46 52 62 71 92 104 124 142 184 208 248 284 299 368 403 496 568 598 713 806 923 961 1136 1196 1426 1612 1633 1846 1922 2201 2392 2852 3224 3266 3692 3844 4402 4784 5704 6448 6532 7384 7688 8804 9269 11408 12493 13064 14768 15376 17608 18538 21229 22103 24986 26128 28613 35216 37076 42458 44206 49972 50623 57226 68231 74152 84916 88412 99944 101246 114452 136462 148304 169832 176824 199888 202492 228904 272924 287339 339664 353648 404984 457808 545848 574678 658099 809968 887003 1091696 1149356 1316198 1569313 1774006 2298712 2632396 3138626 3548012 4597424 5264792 6277252 7096024 10529584 12554504 14192048 20401069 25109008 40802138 81604276 163208552 326417104