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30322368 = 263261863
BaseRepresentation
bin111001110101…
…0111011000000
32010001112110200
41303222323000
530230303433
63001525200
7515510256
oct163527300
963045420
1030322368
111613070a
12a1a3800
13638893b
1440545d6
1529de613
hex1ceaec0

30322368 has 84 divisors (see below), whose sum is σ = 88440768. Its totient is φ = 9930240.

The previous prime is 30322367. The next prime is 30322381. The reversal of 30322368 is 86322303.

It is a super-2 number, since 2×303223682 = 1838892002254848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30322363) by changing a digit.

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, 34705 + ... + 35567.

Almost surely, 230322368 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 30322368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44220384).

30322368 is an abundant number, since it is smaller than the sum of its proper divisors (58118400).

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

30322368 is a wasteful number, since it uses less digits than its factorization.

30322368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30322368 is about 5506.5749790591. The cubic root of 30322368 is about 311.8322569712.

The spelling of 30322368 in words is "thirty million, three hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 863 976 1098 1464 1726 1952 2196 2589 2928 3452 3904 4392 5178 5856 6904 7767 8784 10356 11712 13808 15534 17568 20712 27616 31068 35136 41424 52643 55232 62136 82848 105286 124272 157929 165696 210572 248544 315858 421144 473787 497088 631716 842288 947574 1263432 1684576 1895148 2526864 3369152 3790296 5053728 7580592 10107456 15161184 30322368