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30904400 = 245277261
BaseRepresentation
bin111010111100…
…1000001010000
32011011002212102
41311321001100
530402420100
63022215532
7523453202
oct165710120
964132772
1030904400
1116498a2a
12a4245a8
136530837
144166772
152aa6cd5
hex1d79050

30904400 has 30 divisors (see below), whose sum is σ = 74248782. Its totient is φ = 12361600.

The previous prime is 30904397. The next prime is 30904409. The reversal of 30904400 is 440903.

It can be written as a sum of positive squares in 3 ways, for example, as 4443664 + 26460736 = 2108^2 + 5144^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30904409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 38231 + ... + 39030.

Almost surely, 230904400 is an apocalyptic number.

It is an amenable number.

30904400 is an abundant number, since it is smaller than the sum of its proper divisors (43344382).

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

30904400 is a wasteful number, since it uses less digits than its factorization.

30904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77279 (or 77268 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 30904400 is about 5559.1726003066. The cubic root of 30904400 is about 313.8148123012.

The spelling of 30904400 in words is "thirty million, nine hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 77261 154522 309044 386305 618088 772610 1236176 1545220 1931525 3090440 3863050 6180880 7726100 15452200 30904400