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338100401 is a prime number
BaseRepresentation
bin10100001001110…
…000000010110001
3212120012021120002
4110021300002301
51143023203101
653314355345
711243543312
oct2411600261
9776167502
10338100401
11163937921
129528bb55
135507ab12
1432c90609
151ea37d6b
hex142700b1

338100401 has 2 divisors, whose sum is σ = 338100402. Its totient is φ = 338100400.

The previous prime is 338100397. The next prime is 338100431. The reversal of 338100401 is 104001833.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286963600 + 51136801 = 16940^2 + 7151^2 .

It is a cyclic number.

It is not a de Polignac number, because 338100401 - 22 = 338100397 is a prime.

It is a super-2 number, since 2×3381004012 = 228623762312721602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338100431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169050200 + 169050201.

It is an arithmetic number, because the mean of its divisors is an integer number (169050201).

Almost surely, 2338100401 is an apocalyptic number.

It is an amenable number.

338100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

338100401 is an equidigital number, since it uses as much as digits as its factorization.

338100401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 338100401 is about 18387.5066553353. The cubic root of 338100401 is about 696.6509418803.

The spelling of 338100401 in words is "three hundred thirty-eight million, one hundred thousand, four hundred one".