Search a number
-
+
400432431 = 3719068211
BaseRepresentation
bin10111110111100…
…001110100101111
31000220111002000210
4113313201310233
51310002314211
6103422353503
712631422330
oct2767416457
91026432023
10400432431
111960408a3
12b212b893
1364c63389
143b278287
152524b9a6
hex17de1d2f

400432431 has 8 divisors (see below), whose sum is σ = 610182784. Its totient is φ = 228818520.

The previous prime is 400432423. The next prime is 400432447. The reversal of 400432431 is 134234004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 400432431 - 23 = 400432423 is a prime.

It is a super-2 number, since 2×4004324312 = 320692263593139522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 19068211 = 400432431 / (4 + 0 + 0 + 4 + 3 + 2 + 4 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400432398 and 400432407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400432631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9534085 + ... + 9534126.

It is an arithmetic number, because the mean of its divisors is an integer number (76272848).

Almost surely, 2400432431 is an apocalyptic number.

400432431 is a deficient number, since it is larger than the sum of its proper divisors (209750353).

400432431 is a wasteful number, since it uses less digits than its factorization.

400432431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19068221.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 400432431 is about 20010.8078547569. The cubic root of 400432431 is about 737.0717190089.

Adding to 400432431 its reverse (134234004), we get a palindrome (534666435).

The spelling of 400432431 in words is "four hundred million, four hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 19068211 57204633 133477477 400432431