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404370640 = 2455054633
BaseRepresentation
bin11000000110100…
…011010011010000
31001011220011020101
4120012203103100
51312004330030
6104043022144
713010044102
oct3006432320
91034804211
10404370640
11198290713
12b350a954
1365a11a8b
143b9c1572
15257787ca
hex181a34d0

404370640 has 20 divisors (see below), whose sum is σ = 940161924. Its totient is φ = 161748224.

The previous prime is 404370623. The next prime is 404370641. The reversal of 404370640 is 46073404.

It can be written as a sum of positive squares in 2 ways, for example, as 238270096 + 166100544 = 15436^2 + 12888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×4043706402 = 327031228988019200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404370599 and 404370608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404370641) 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 3 ways as a sum of consecutive naturals, for example, 2527237 + ... + 2527396.

Almost surely, 2404370640 is an apocalyptic number.

404370640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404370640 is an abundant number, since it is smaller than the sum of its proper divisors (535791284).

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

404370640 is a wasteful number, since it uses less digits than its factorization.

404370640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054646 (or 5054640 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 404370640 is about 20108.9691431461. The cubic root of 404370640 is about 739.4801803438.

The spelling of 404370640 in words is "four hundred four million, three hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5054633 10109266 20218532 25273165 40437064 50546330 80874128 101092660 202185320 404370640