Search a number
-
+
400343420 = 22520017171
BaseRepresentation
bin10111110111001…
…100000101111100
31000220022112221002
4113313030011330
51304441442140
6103420425432
712630601661
oct2767140574
91026275832
10400343420
11195a8aa34
12b20a8278
1364c319c9
143b253a68
1525230415
hex17dcc17c

400343420 has 12 divisors (see below), whose sum is σ = 840721224. Its totient is φ = 160137360.

The previous prime is 400343417. The next prime is 400343429. The reversal of 400343420 is 24343004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 20017171 = 400343420 / (4 + 0 + 0 + 3 + 4 + 3 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 400343392 and 400343401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400343429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10008566 + ... + 10008605.

It is an arithmetic number, because the mean of its divisors is an integer number (70060102).

Almost surely, 2400343420 is an apocalyptic number.

It is an amenable number.

400343420 is an abundant number, since it is smaller than the sum of its proper divisors (440377804).

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

400343420 is a wasteful number, since it uses less digits than its factorization.

400343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20017180 (or 20017178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 400343420 is about 20008.5836580204. The cubic root of 400343420 is about 737.0171010946.

Adding to 400343420 its reverse (24343004), we get a palindrome (424686424).

The spelling of 400343420 in words is "four hundred million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 20017171 40034342 80068684 100085855 200171710 400343420