Search a number
-
+
349293392943 = 31179371333583
BaseRepresentation
bin1010001010100111000…
…00100011010000101111
31020101120212010211201020
411011103200203100233
521210323102033233
6424244013345223
734143546565245
oct5052340432057
91211525124636
10349293392943
11125153017a80
1257841798213
1326c27387b41
1412c97a98795
159144ec89b3
hex515382342f

349293392943 has 16 divisors (see below), whose sum is σ = 508127510016. Its totient is φ = 211666135040.

The previous prime is 349293392933. The next prime is 349293392947.

349293392943 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 349293392943 - 26 = 349293392879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349293392947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404871 + ... + 928712.

It is an arithmetic number, because the mean of its divisors is an integer number (31757969376).

Almost surely, 2349293392943 is an apocalyptic number.

349293392943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

349293392943 is a deficient number, since it is larger than the sum of its proper divisors (158834117073).

349293392943 is a wasteful number, since it uses less digits than its factorization.

349293392943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341534.

The product of its digits is 34012224, while the sum is 60.

The spelling of 349293392943 in words is "three hundred forty-nine billion, two hundred ninety-three million, three hundred ninety-two thousand, nine hundred forty-three".

Divisors: 1 3 11 33 7937 23811 87307 261921 1333583 4000749 14669413 44008239 10584648271 31753944813 116431130981 349293392943