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30968320 = 29512097
BaseRepresentation
bin111011000100…
…0101000000000
32011021100112211
41312020220000
530411441240
63023431504
7524140435
oct166105000
964240484
1030968320
1116531a59
12a455594
136553966
144181b8c
152ababea
hex1d88a00

30968320 has 40 divisors (see below), whose sum is σ = 74257524. Its totient is φ = 12386304.

The previous prime is 30968303. The next prime is 30968341. The reversal of 30968320 is 2386903.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26708224 + 4260096 = 5168^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3489 + ... + 8608.

Almost surely, 230968320 is an apocalyptic number.

It is an amenable number.

30968320 is an abundant number, since it is smaller than the sum of its proper divisors (43289204).

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

30968320 is an equidigital number, since it uses as much as digits as its factorization.

30968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12120 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 30968320 is about 5564.9186876360. The cubic root of 30968320 is about 314.0310191542.

The spelling of 30968320 in words is "thirty million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 12097 24194 48388 60485 96776 120970 193552 241940 387104 483880 774208 967760 1548416 1935520 3096832 3871040 6193664 7742080 15484160 30968320