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3442120033 = 112175331573
BaseRepresentation
bin1100110100101010…
…1001010101100001
322212212221211000011
43031022221111201
524022140320113
61325320324521
7151204352242
oct31512512541
98785854004
103442120033
111506a94800
12800913741
1342b182621
14249212cc9
151522c763d
hexcd2a9561

3442120033 has 24 divisors (see below), whose sum is σ = 4081760424. Its totient is φ = 2889469440.

The previous prime is 3442120021. The next prime is 3442120037. The reversal of 3442120033 is 3300212443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1175598369 + 2266521664 = 34287^2 + 47608^2 .

It is not a de Polignac number, because 3442120033 - 29 = 3442119521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3442119986 and 3442120013.

It is not an unprimeable number, because it can be changed into a prime (3442120037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93235 + ... + 124807.

It is an arithmetic number, because the mean of its divisors is an integer number (170073351).

Almost surely, 23442120033 is an apocalyptic number.

It is an amenable number.

3442120033 is a deficient number, since it is larger than the sum of its proper divisors (639640391).

3442120033 is a wasteful number, since it uses less digits than its factorization.

3442120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31665 (or 31654 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3442120033 is about 58669.5835420706. The cubic root of 3442120033 is about 1509.8785091500.

Adding to 3442120033 its reverse (3300212443), we get a palindrome (6742332476).

The spelling of 3442120033 in words is "three billion, four hundred forty-two million, one hundred twenty thousand, thirty-three".

Divisors: 1 11 17 53 121 187 583 901 2057 6413 9911 31573 109021 347303 536741 1673369 3820333 5904151 18407059 28447273 64945661 202477649 312920003 3442120033