Search a number
-
+
345182534039 = 735023200351
BaseRepresentation
bin1010000010111100111…
…10110111100110010111
31012222222100211120102202
411001132132313212113
521123413212042124
6422324043355115
733636642062000
oct5013636674627
91188870746382
10345182534039
111234335a5922
1256a94b22a9b
13267207c0155
14129c7b281a7
158ea41565ae
hex505e7b7997

345182534039 has 16 divisors (see below), whose sum is σ = 402627379200. Its totient is φ = 295810363800.

The previous prime is 345182534033. The next prime is 345182534057. The reversal of 345182534039 is 930435281543.

It is not a de Polignac number, because 345182534039 - 24 = 345182534023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345182533984 and 345182534002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345182534033) 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 15 ways as a sum of consecutive naturals, for example, 1622714 + ... + 1823064.

It is an arithmetic number, because the mean of its divisors is an integer number (25164211200).

Almost surely, 2345182534039 is an apocalyptic number.

345182534039 is a deficient number, since it is larger than the sum of its proper divisors (57444845161).

345182534039 is an equidigital number, since it uses as much as digits as its factorization.

345182534039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205395 (or 205381 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 345182534039 in words is "three hundred forty-five billion, one hundred eighty-two million, five hundred thirty-four thousand, thirty-nine".

Divisors: 1 7 49 343 5023 35161 200351 246127 1402457 1722889 9817199 68720393 1006363073 7044541511 49311790577 345182534039