Search a number
-
+
400412321 is a prime number
BaseRepresentation
bin10111110111011…
…100111010100001
31000220110001102222
4113313130322201
51310001143241
6103422120425
712631306601
oct2767347241
91026401388
10400412321
11196027781
12b2120115
1364c5718a
143b270c01
1525245a4b
hex17ddcea1

400412321 has 2 divisors, whose sum is σ = 400412322. Its totient is φ = 400412320.

The previous prime is 400412303. The next prime is 400412347. The reversal of 400412321 is 123214004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 395572321 + 4840000 = 19889^2 + 2200^2 .

It is a cyclic number.

It is not a de Polignac number, because 400412321 - 226 = 333303457 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400412321.

It is not a weakly prime, because it can be changed into another prime (400412351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200206160 + 200206161.

It is an arithmetic number, because the mean of its divisors is an integer number (200206161).

Almost surely, 2400412321 is an apocalyptic number.

It is an amenable number.

400412321 is a deficient number, since it is larger than the sum of its proper divisors (1).

400412321 is an equidigital number, since it uses as much as digits as its factorization.

400412321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 400412321 is about 20010.3053699837. The cubic root of 400412321 is about 737.0593800480.

Adding to 400412321 its reverse (123214004), we get a palindrome (523626325).

The spelling of 400412321 in words is "four hundred million, four hundred twelve thousand, three hundred twenty-one".