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333414401 is a prime number
BaseRepresentation
bin10011110111111…
…000000000000001
3212020101012120112
4103313320000001
51140323230101
653030121105
711155655435
oct2367700001
9766335515
10333414401
111612271a1
12937b0195
13540c9c38
14323d09c5
151e40e6bb
hex13df8001

333414401 has 2 divisors, whose sum is σ = 333414402. Its totient is φ = 333414400.

The previous prime is 333414397. The next prime is 333414407. The reversal of 333414401 is 104414333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331786225 + 1628176 = 18215^2 + 1276^2 .

It is a cyclic number.

It is not a de Polignac number, because 333414401 - 22 = 333414397 is a prime.

It is a super-2 number, since 2×3334144012 = 222330325588377602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (333414407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166707200 + 166707201.

It is an arithmetic number, because the mean of its divisors is an integer number (166707201).

It is a Proth number, since it is equal to 10175 ⋅ 215 + 1 and 10175 < 215.

Almost surely, 2333414401 is an apocalyptic number.

It is an amenable number.

333414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

333414401 is an equidigital number, since it uses as much as digits as its factorization.

333414401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 333414401 is about 18259.6385780223. The cubic root of 333414401 is about 693.4174789752.

Adding to 333414401 its reverse (104414333), we get a palindrome (437828734).

The spelling of 333414401 in words is "three hundred thirty-three million, four hundred fourteen thousand, four hundred one".