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3406237133 = 13615697549
BaseRepresentation
bin1100101100000111…
…0000110111001101
322210101102202220212
43023001300313031
523433444042013
61321555252205
7150260352335
oct31301606715
98711382825
103406237133
111498806412
127b08aa065
134238caa40
142445520c5
1514e08a6a8
hexcb070dcd

3406237133 has 16 divisors (see below), whose sum is σ = 3735438000. Its totient is φ = 3086830080.

The previous prime is 3406237129. The next prime is 3406237169. The reversal of 3406237133 is 3317326043.

3406237133 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 774341929 + 2631895204 = 27827^2 + 51302^2 .

It is a cyclic number.

It is not a de Polignac number, because 3406237133 - 22 = 3406237129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3406237133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406237123) 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, 447443 + ... + 454991.

It is an arithmetic number, because the mean of its divisors is an integer number (233464875).

Almost surely, 23406237133 is an apocalyptic number.

It is an amenable number.

3406237133 is a deficient number, since it is larger than the sum of its proper divisors (329200867).

3406237133 is a wasteful number, since it uses less digits than its factorization.

3406237133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8192.

The product of its (nonzero) digits is 27216, while the sum is 32.

The square root of 3406237133 is about 58362.9774171949. The cubic root of 3406237133 is about 1504.6135191538.

The spelling of 3406237133 in words is "three billion, four hundred six million, two hundred thirty-seven thousand, one hundred thirty-three".

Divisors: 1 13 61 569 793 7397 7549 34709 98137 451217 460489 4295381 5986357 55839953 262018241 3406237133