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30351400 = 2352295233
BaseRepresentation
bin111001111001…
…0000000101000
32010010000021221
41303302000220
530232221100
63002311424
7515661022
oct163620050
963100257
1030351400
1116150502
12a1b8574
136398c11
144061012
1529e801a
hex1cf2028

30351400 has 48 divisors (see below), whose sum is σ = 73014300. Its totient is φ = 11719680.

The previous prime is 30351367. The next prime is 30351401. The reversal of 30351400 is 415303.

It can be written as a sum of positive squares in 6 ways, for example, as 20124196 + 10227204 = 4486^2 + 3198^2 .

It is not an unprimeable number, because it can be changed into a prime (30351401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3184 + ... + 8416.

Almost surely, 230351400 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 30351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36507150).

30351400 is an abundant number, since it is smaller than the sum of its proper divisors (42662900).

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

30351400 is a wasteful number, since it uses less digits than its factorization.

30351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 30351400 is about 5509.2104697497. The cubic root of 30351400 is about 311.9317459726.

Adding to 30351400 its reverse (415303), we get a palindrome (30766703).

The spelling of 30351400 in words is "thirty million, three hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5233 5800 10466 20932 26165 41864 52330 104660 130825 151757 209320 261650 303514 523300 607028 758785 1046600 1214056 1517570 3035140 3793925 6070280 7587850 15175700 30351400