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3457836401 is a prime number
BaseRepresentation
bin1100111000011010…
…0110010101110001
322220222112021210212
43032012212111301
524040201231101
61331041233505
7151455060455
oct31606462561
98828467725
103457836401
111514949738
12806032895
134314c6056
1424b344665
1515387e1bb
hexce1a6571

3457836401 has 2 divisors, whose sum is σ = 3457836402. Its totient is φ = 3457836400.

The previous prime is 3457836383. The next prime is 3457836409. The reversal of 3457836401 is 1046387543.

3457836401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3332060176 + 125776225 = 57724^2 + 11215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3457836401 is a prime.

It is not a weakly prime, because it can be changed into another prime (3457836409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1728918200 + 1728918201.

It is an arithmetic number, because the mean of its divisors is an integer number (1728918201).

Almost surely, 23457836401 is an apocalyptic number.

It is an amenable number.

3457836401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3457836401 is an equidigital number, since it uses as much as digits as its factorization.

3457836401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 3457836401 is about 58803.3706601926. The cubic root of 3457836401 is about 1512.1730041546.

The spelling of 3457836401 in words is "three billion, four hundred fifty-seven million, eight hundred thirty-six thousand, four hundred one".