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321906048 = 2737111807
BaseRepresentation
bin10011001011111…
…110010110000000
3211102201112002020
4103023332112000
51124401443143
651535321440
710656104412
oct2313762600
9742645066
10321906048
11155786862
128b980280
13518ca969
1430a769b2
151d3d9883
hex132fe580

321906048 has 64 divisors (see below), whose sum is σ = 867179520. Its totient is φ = 105781760.

The previous prime is 321906029. The next prime is 321906059. The reversal of 321906048 is 840609123.

321906048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21361 + ... + 33167.

It is an arithmetic number, because the mean of its divisors is an integer number (13549680).

Almost surely, 2321906048 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 321906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433589760).

321906048 is an abundant number, since it is smaller than the sum of its proper divisors (545273472).

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

321906048 is a wasteful number, since it uses less digits than its factorization.

321906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11895 (or 11883 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 321906048 is about 17941.7403838089. The cubic root of 321906048 is about 685.3457313117.

The spelling of 321906048 in words is "three hundred twenty-one million, nine hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 11807 13632 23614 27264 35421 47228 70842 94456 141684 188912 283368 377824 566736 755648 838297 1133472 1511296 1676594 2266944 2514891 3353188 4533888 5029782 6706376 10059564 13412752 20119128 26825504 40238256 53651008 80476512 107302016 160953024 321906048