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3337316401 = 41170947629
BaseRepresentation
bin1100011011101011…
…0110100000110001
322121120202020110011
43012322312200301
523313323111101
61311054134521
7145462502266
oct30672664061
98546666404
103337316401
111462912231
127917b1441
13412549543
1423933126d
15147ec4751
hexc6eb6831

3337316401 has 8 divisors (see below), whose sum is σ = 3420786600. Its totient is φ = 3253944960.

The previous prime is 3337316347. The next prime is 3337316407. The reversal of 3337316401 is 1046137333.

It is a happy number.

3337316401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56776225 + 3280540176 = 7535^2 + 57276^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3337316401 - 27 = 3337316273 is a prime.

It is a super-2 number, since 2×33373164012 = 22275361520767185602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3337316407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46255 + ... + 93883.

It is an arithmetic number, because the mean of its divisors is an integer number (427598325).

Almost surely, 23337316401 is an apocalyptic number.

It is an amenable number.

3337316401 is a deficient number, since it is larger than the sum of its proper divisors (83470199).

3337316401 is a wasteful number, since it uses less digits than its factorization.

3337316401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49379.

The product of its (nonzero) digits is 13608, while the sum is 31.

The square root of 3337316401 is about 57769.5109984497. The cubic root of 3337316401 is about 1494.3963366321.

The spelling of 3337316401 in words is "three billion, three hundred thirty-seven million, three hundred sixteen thousand, four hundred one".

Divisors: 1 41 1709 47629 70069 1952789 81397961 3337316401