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323430034323 = 311371283206461
BaseRepresentation
bin1001011010011011110…
…11101010101110010011
31010220211101200002112010
410231031323222232103
520244341042044243
6404325352034003
732236616634324
oct4551573525623
91126741602463
10323430034323
11115190905930
1252824092903
1324665016b46
1411922bb244b
15862e616433
hex4b4deeab93

323430034323 has 32 divisors (see below), whose sum is σ = 483537307392. Its totient is φ = 190570838400.

The previous prime is 323430034321. The next prime is 323430034331.

It is a happy number.

323430034323 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 323430034323 - 21 = 323430034321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (323430034321) 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 31 ways as a sum of consecutive naturals, for example, 1463313 + ... + 1669773.

It is an arithmetic number, because the mean of its divisors is an integer number (15110540856).

Almost surely, 2323430034323 is an apocalyptic number.

323430034323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

323430034323 is a deficient number, since it is larger than the sum of its proper divisors (160107273069).

323430034323 is a wasteful number, since it uses less digits than its factorization.

323430034323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207795.

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 3234300 and 34323, that added together give a palindrome (3268623).

The spelling of 323430034323 in words is "three hundred twenty-three billion, four hundred thirty million, thirty-four thousand, three hundred twenty-three".

Divisors: 1 3 11 33 37 111 407 1221 1283 3849 14113 42339 47471 142413 206461 522181 619383 1566543 2271071 6813213 7639057 22917171 84029627 252088881 264889463 794668389 2913784093 8741352279 9800910131 29402730393 107810011441 323430034323