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20404314 = 2327672417
BaseRepresentation
bin100110111010…
…1100001011010
31102101122110100
41031311201122
520210414224
62005200230
7335301540
oct115654132
942348410
1020404314
1110577077
126a00076
1342c5478
1429d1d90
151bd0ac9
hex137585a

20404314 has 48 divisors (see below), whose sum is σ = 51300288. Its totient is φ = 5740416.

The previous prime is 20404261. The next prime is 20404331. The reversal of 20404314 is 41340402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7234 + ... + 9650.

It is an arithmetic number, because the mean of its divisors is an integer number (1068756).

Almost surely, 220404314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20404314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25650144).

20404314 is an abundant number, since it is smaller than the sum of its proper divisors (30895974).

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

20404314 is a wasteful number, since it uses less digits than its factorization.

20404314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20404314 is about 4517.1134588363. The cubic root of 20404314 is about 273.2587009537.

Adding to 20404314 its reverse (41340402), we get a palindrome (61744716).

The spelling of 20404314 in words is "twenty million, four hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2417 2814 4221 4834 7251 8442 14502 16919 21753 33838 43506 50757 101514 152271 161939 304542 323878 485817 971634 1133573 1457451 2267146 2914902 3400719 6801438 10202157 20404314