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20684304 = 24323792
BaseRepresentation
bin100111011100…
…1111000010000
31102220212112100
41032321320100
520243344204
62015200400
7340546044
oct116717020
942825470
1020684304
1110748473
126b16100
134392a44
142a66024
151c38a39
hex13b9e10

20684304 has 45 divisors (see below), whose sum is σ = 58040463. Its totient is φ = 6876576.

The previous prime is 20684281. The next prime is 20684309. The reversal of 20684304 is 40348602.

The square root of 20684304 is 4548.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (20684309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54387 + ... + 54765.

Almost surely, 220684304 is an apocalyptic number.

20684304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20684304 is the 4548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20684304

20684304 is an abundant number, since it is smaller than the sum of its proper divisors (37356159).

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

20684304 is an equidigital number, since it uses as much as digits as its factorization.

20684304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The cubic root of 20684304 is about 274.5029213262.

The spelling of 20684304 in words is "twenty million, six hundred eighty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 379 758 1137 1516 2274 3032 3411 4548 6064 6822 9096 13644 18192 27288 54576 143641 287282 430923 574564 861846 1149128 1292769 1723692 2298256 2585538 3447384 5171076 6894768 10342152 20684304