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30823968 = 253745869
BaseRepresentation
bin111010110010…
…1011000100000
32011000000112110
41311211120200
530342331333
63020355320
7522666540
oct165453040
964000473
1030823968
111644355a
12a3a5b40
136503046
144145320
152a8d063
hex1d65620

30823968 has 48 divisors (see below), whose sum is σ = 92473920. Its totient is φ = 8806656.

The previous prime is 30823943. The next prime is 30823973. The reversal of 30823968 is 86932803.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 22263 + ... + 23606.

It is an arithmetic number, because the mean of its divisors is an integer number (1926540).

Almost surely, 230823968 is an apocalyptic number.

It is an amenable number.

30823968 is an abundant number, since it is smaller than the sum of its proper divisors (61649952).

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

30823968 is a wasteful number, since it uses less digits than its factorization.

30823968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45889 (or 45881 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 30823968 is about 5551.9337171836. The cubic root of 30823968 is about 313.5423302603.

The spelling of 30823968 in words is "thirty million, eight hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 45869 91738 137607 183476 275214 321083 366952 550428 642166 733904 963249 1100856 1284332 1467808 1926498 2201712 2568664 3852996 4403424 5137328 7705992 10274656 15411984 30823968