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30944312 = 23719127229
BaseRepresentation
bin111011000001…
…0110000111000
32011020010121122
41312002300320
530410204222
63023124412
7524010440
oct166026070
964203548
1030944312
1116515a13
12a443708
136545a59
144177120
152ab3a42
hex1d82c38

30944312 has 64 divisors (see below), whose sum is σ = 70656000. Its totient is φ = 12410496.

The previous prime is 30944297. The next prime is 30944359. The reversal of 30944312 is 21344903.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 135014 + ... + 135242.

It is an arithmetic number, because the mean of its divisors is an integer number (1104000).

Almost surely, 230944312 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 30944312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35328000).

30944312 is an abundant number, since it is smaller than the sum of its proper divisors (39711688).

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

30944312 is a wasteful number, since it uses less digits than its factorization.

30944312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 30944312 is about 5562.7611848793. The cubic root of 30944312 is about 313.9498479681.

The spelling of 30944312 in words is "thirty million, nine hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 127 133 152 229 254 266 458 508 532 889 916 1016 1064 1603 1778 1832 2413 3206 3556 4351 4826 6412 7112 8702 9652 12824 16891 17404 19304 29083 30457 33782 34808 58166 60914 67564 116332 121828 135128 203581 232664 243656 407162 552577 814324 1105154 1628648 2210308 3868039 4420616 7736078 15472156 30944312