Search a number
-
+
34334415433 = 232109595453
BaseRepresentation
bin11111111110011111…
…011001101001001001
310021121211021000120001
4133332133121221021
51030304102243213
623434545403001
72323560500353
oct377637315111
9107554230501
1034334415433
111361997854a
1267a2639461
133312374266
141939d700d3
15d5e40a1dd
hex7fe7d9a49

34334415433 has 12 divisors (see below), whose sum is σ = 36221466820. Its totient is φ = 32540260896.

The previous prime is 34334415403. The next prime is 34334415463. The reversal of 34334415433 is 33451443343.

It is an interprime number because it is at equal distance from previous prime (34334415403) and next prime (34334415463).

It can be written as a sum of positive squares in 2 ways, for example, as 8383782969 + 25950632464 = 91563^2 + 161092^2 .

It is a de Polignac number, because none of the positive numbers 2k-34334415433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34334415392 and 34334415401.

It is not an unprimeable number, because it can be changed into a prime (34334415403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240066 + ... + 355387.

Almost surely, 234334415433 is an apocalyptic number.

It is an amenable number.

34334415433 is a deficient number, since it is larger than the sum of its proper divisors (1887051387).

34334415433 is a wasteful number, since it uses less digits than its factorization.

34334415433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595608 (or 595585 counting only the distinct ones).

The product of its digits is 311040, while the sum is 37.

Adding to 34334415433 its reverse (33451443343), we get a palindrome (67785858776).

The spelling of 34334415433 in words is "thirty-four billion, three hundred thirty-four million, four hundred fifteen thousand, four hundred thirty-three".

Divisors: 1 23 109 529 2507 57661 595453 13695419 64904377 314994637 1492800671 34334415433