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3434401321 = 136110939733
BaseRepresentation
bin1100110010110100…
…1100111000101001
322212100102122220221
43030231030320221
524013201320241
61324443050041
7151051633561
oct31455147051
98770378827
103434401321
1115026a25aa
127ba210921
134296ac240
142481a3da1
151517a05d1
hexccb4ce29

3434401321 has 16 divisors (see below), whose sum is σ = 3793802320. Its totient is φ = 3089560320.

The previous prime is 3434401237. The next prime is 3434401337. The reversal of 3434401321 is 1231044343.

3434401321 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 8 ways, for example, as 48441600 + 3385959721 = 6960^2 + 58189^2 .

It is a cyclic number.

It is not a de Polignac number, because 3434401321 - 211 = 3434399273 is a prime.

It is a super-2 number, since 2×34344013212 = 23590224867373090082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3434401021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66571 + ... + 106303.

It is an arithmetic number, because the mean of its divisors is an integer number (237112645).

Almost surely, 23434401321 is an apocalyptic number.

It is an amenable number.

3434401321 is a deficient number, since it is larger than the sum of its proper divisors (359400999).

3434401321 is a wasteful number, since it uses less digits than its factorization.

3434401321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39916.

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3434401321 is about 58603.7654165669. The cubic root of 3434401321 is about 1508.7490657205.

Adding to 3434401321 its reverse (1231044343), we get a palindrome (4665445664).

The spelling of 3434401321 in words is "three billion, four hundred thirty-four million, four hundred one thousand, three hundred twenty-one".

Divisors: 1 13 61 109 793 1417 6649 39733 86437 516529 2423713 4330897 31508269 56301661 264184717 3434401321