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30830832 = 2432251853
BaseRepresentation
bin111010110011…
…1000011110000
32011000100221200
41311213003300
530343041312
63020451200
7523025544
oct165470360
964010850
1030830832
111644872a
12a3a9b00
1365061c6
144147a24
152a900dc
hex1d670f0

30830832 has 60 divisors (see below), whose sum is σ = 86728824. Its totient is φ = 10224000.

The previous prime is 30830831. The next prime is 30830837. The reversal of 30830832 is 23803803.

It is a junction number, because it is equal to n+sod(n) for n = 30830796 and 30830805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30830831) 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, 35718 + ... + 36570.

Almost surely, 230830832 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 30830832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43364412).

30830832 is an abundant number, since it is smaller than the sum of its proper divisors (55897992).

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

30830832 is a wasteful number, since it uses less digits than its factorization.

30830832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30830832 is about 5552.5518457733. The cubic root of 30830832 is about 313.5656021379.

The spelling of 30830832 in words is "thirty million, eight hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 502 753 853 1004 1506 1706 2008 2259 2559 3012 3412 4016 4518 5118 6024 6824 7677 9036 10236 12048 13648 15354 18072 20472 30708 36144 40944 61416 122832 214103 428206 642309 856412 1284618 1712824 1926927 2569236 3425648 3853854 5138472 7707708 10276944 15415416 30830832