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404414020 = 225171189453
BaseRepresentation
bin11000000110101…
…101111001000100
31001011222100202001
4120012231321010
51312012222040
6104043555044
713010314423
oct3006557104
91034870661
10404414020
1119831026a
12b352ba84
1365a2874a
143b9d32ba
152578659a
hex181ade44

404414020 has 24 divisors (see below), whose sum is σ = 899227224. Its totient is φ = 152249856.

The previous prime is 404413987. The next prime is 404414039. The reversal of 404414020 is 20414404.

It can be written as a sum of positive squares in 4 ways, for example, as 5692996 + 398721024 = 2386^2 + 19968^2 .

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 7 ways as a sum of consecutive naturals, for example, 594387 + ... + 595066.

It is an arithmetic number, because the mean of its divisors is an integer number (37467801).

Almost surely, 2404414020 is an apocalyptic number.

It is an amenable number.

404414020 is an abundant number, since it is smaller than the sum of its proper divisors (494813204).

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

404414020 is a wasteful number, since it uses less digits than its factorization.

404414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189479 (or 1189477 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 404414020 is about 20110.0477373874. The cubic root of 404414020 is about 739.5066226717.

Adding to 404414020 its reverse (20414404), we get a palindrome (424828424).

The spelling of 404414020 in words is "four hundred four million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1189453 2378906 4757812 5947265 11894530 20220701 23789060 40441402 80882804 101103505 202207010 404414020