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30430980 = 22325293577
BaseRepresentation
bin111010000010…
…1011100000100
32010021001110100
41310011130010
530242242410
63004124100
7516442026
oct164053404
963231410
1030430980
11161a5278
12a236630
1363c61c8
144082016
152a118c0
hex1d05704

30430980 has 72 divisors (see below), whose sum is σ = 92782872. Its totient is φ = 8073216.

The previous prime is 30430973. The next prime is 30431021. The reversal of 30430980 is 8903403.

It can be written as a sum of positive squares in 4 ways, for example, as 20088324 + 10342656 = 4482^2 + 3216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52452 + ... + 53028.

It is an arithmetic number, because the mean of its divisors is an integer number (1288651).

Almost surely, 230430980 is an apocalyptic number.

30430980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30430980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46391436).

30430980 is an abundant number, since it is smaller than the sum of its proper divisors (62351892).

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

30430980 is a wasteful number, since it uses less digits than its factorization.

30430980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30430980 is about 5516.4281922273. The cubic root of 30430980 is about 312.2041317000.

The spelling of 30430980 in words is "thirty million, four hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 577 586 879 1154 1172 1465 1731 1758 2308 2637 2885 2930 3462 3516 4395 5193 5274 5770 5860 6924 8655 8790 10386 10548 11540 13185 17310 17580 20772 25965 26370 34620 51930 52740 103860 169061 338122 507183 676244 845305 1014366 1521549 1690610 2028732 2535915 3043098 3381220 5071830 6086196 7607745 10143660 15215490 30430980