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30430880 = 255892137
BaseRepresentation
bin111010000010…
…1011010100000
32010021001022122
41310011122200
530242242010
63004123412
7516441524
oct164053240
963231278
1030430880
11161a5197
12a236568
1363c614c
144081d84
152a11855
hex1d056a0

30430880 has 48 divisors (see below), whose sum is σ = 72734760. Its totient is φ = 12029952.

The previous prime is 30430849. The next prime is 30430903. The reversal of 30430880 is 8803403.

It can be written as a sum of positive squares in 4 ways, for example, as 11316496 + 19114384 = 3364^2 + 4372^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13172 + ... + 15308.

Almost surely, 230430880 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 30430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36367380).

30430880 is an abundant number, since it is smaller than the sum of its proper divisors (42303880).

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

30430880 is a wasteful number, since it uses less digits than its factorization.

30430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 30430880 is about 5516.4191283839. The cubic root of 30430880 is about 312.2037897190.

The spelling of 30430880 in words is "thirty million, four hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2137 2848 3560 4274 7120 8548 10685 14240 17096 21370 34192 42740 68384 85480 170960 190193 341920 380386 760772 950965 1521544 1901930 3043088 3803860 6086176 7607720 15215440 30430880