Search a number
-
+
34997840293 = 1339743315661
BaseRepresentation
bin100000100110000010…
…001010100110100101
310100100001121111101011
4200212002022212211
51033133421342133
624024445102221
72346164506543
oct404602124645
9110301544334
1034997840293
111392a406459
126948857971
1333b9948950
1419a0106d93
15d9c7a56cd
hex82608a9a5

34997840293 has 16 divisors (see below), whose sum is σ = 37874600176. Its totient is φ = 32147850240.

The previous prime is 34997840287. The next prime is 34997840299. The reversal of 34997840293 is 39204879943.

It is an interprime number because it is at equal distance from previous prime (34997840287) and next prime (34997840299).

It can be written as a sum of positive squares in 8 ways, for example, as 7144929 + 34990695364 = 2673^2 + 187058^2 .

It is a cyclic number.

It is not a de Polignac number, because 34997840293 - 25 = 34997840261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34997840299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226883 + ... + 2242543.

It is an arithmetic number, because the mean of its divisors is an integer number (2367162511).

Almost surely, 234997840293 is an apocalyptic number.

It is an amenable number.

34997840293 is a deficient number, since it is larger than the sum of its proper divisors (2876759883).

34997840293 is a wasteful number, since it uses less digits than its factorization.

34997840293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16504.

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 34997840293 in words is "thirty-four billion, nine hundred ninety-seven million, eight hundred forty thousand, two hundred ninety-three".

Divisors: 1 13 397 433 5161 5629 15661 171901 203593 2234713 6217417 6781213 80826421 88155769 2692141561 34997840293