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322740864 = 2732281997
BaseRepresentation
bin10011001111001…
…010001010000000
3211111021221020100
4103033022022000
51130110201424
652005242400
710666152315
oct2317121200
9744257210
10322740864
111561a6a96
1290103400
1351b30934
1430c12d0c
151d501dc9
hex133ca280

322740864 has 96 divisors (see below), whose sum is σ = 932960340. Its totient is φ = 107089920.

The previous prime is 322740829. The next prime is 322740871. The reversal of 322740864 is 468047223.

It can be written as a sum of positive squares in 2 ways, for example, as 296115264 + 26625600 = 17208^2 + 5160^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 323214 + ... + 324210.

Almost surely, 2322740864 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 322740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466480170).

322740864 is an abundant number, since it is smaller than the sum of its proper divisors (610219476).

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

322740864 is a wasteful number, since it uses less digits than its factorization.

322740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 322740864 is about 17964.9899526830. The cubic root of 322740864 is about 685.9376676982.

The spelling of 322740864 in words is "three hundred twenty-two million, seven hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 281 288 384 562 576 843 997 1124 1152 1686 1994 2248 2529 2991 3372 3988 4496 5058 5982 6744 7976 8973 8992 10116 11964 13488 15952 17946 17984 20232 23928 26976 31904 35892 35968 40464 47856 53952 63808 71784 80928 95712 107904 127616 143568 161856 191424 280157 287136 323712 382848 560314 574272 840471 1120628 1148544 1680942 2241256 2521413 3361884 4482512 5042826 6723768 8965024 10085652 13447536 17930048 20171304 26895072 35860096 40342608 53790144 80685216 107580288 161370432 322740864