Search a number
-
+
400300393 is a prime number
BaseRepresentation
bin10111110111000…
…001100101101001
31000220020100220111
4113313001211221
51304434103033
6103415454321
712630332353
oct2767014551
91026210814
10400300393
11195a60679
12b20873a1
1364c1824c
143b2420d3
15252227cd
hex17dc1969

400300393 has 2 divisors, whose sum is σ = 400300394. Its totient is φ = 400300392.

The previous prime is 400300339. The next prime is 400300463. The reversal of 400300393 is 393003004.

Together with previous prime (400300339) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265461849 + 134838544 = 16293^2 + 11612^2 .

It is a cyclic number.

It is not a de Polignac number, because 400300393 - 29 = 400299881 is a prime.

It is not a weakly prime, because it can be changed into another prime (400300093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200150196 + 200150197.

It is an arithmetic number, because the mean of its divisors is an integer number (200150197).

Almost surely, 2400300393 is an apocalyptic number.

It is an amenable number.

400300393 is a deficient number, since it is larger than the sum of its proper divisors (1).

400300393 is an equidigital number, since it uses as much as digits as its factorization.

400300393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 400300393 is about 20007.5084155924. The cubic root of 400300393 is about 736.9906964552.

Adding to 400300393 its reverse (393003004), we get a palindrome (793303397).

The spelling of 400300393 in words is "four hundred million, three hundred thousand, three hundred ninety-three".