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30968064 = 283213441
BaseRepresentation
bin111011000100…
…0100100000000
32011021100012100
41312020210000
530411434224
63023430400
7524136621
oct166104400
964240170
1030968064
1116531846
12a455400
1365537ca
144181a48
152abaac9
hex1d88900

30968064 has 54 divisors (see below), whose sum is σ = 89295206. Its totient is φ = 10321920.

The previous prime is 30968057. The next prime is 30968089. The reversal of 30968064 is 46086903.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 9734400 = 4608^2 + 3120^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4417 + ... + 9024.

Almost surely, 230968064 is an apocalyptic number.

It is an amenable number.

30968064 is an abundant number, since it is smaller than the sum of its proper divisors (58327142).

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

30968064 is a wasteful number, since it uses less digits than its factorization.

30968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13463 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30968064 is about 5564.8956863539. The cubic root of 30968064 is about 314.0301538381.

The spelling of 30968064 in words is "thirty million, nine hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 13441 26882 40323 53764 80646 107528 120969 161292 215056 241938 322584 430112 483876 645168 860224 967752 1290336 1720448 1935504 2580672 3440896 3871008 5161344 7742016 10322688 15484032 30968064