Search a number
-
+
3430124313 = 372112121289
BaseRepresentation
bin1100110001110011…
…1000101100011001
322212001101100222020
43030130320230121
524011102434223
61324211245053
7151000401300
oct31434705431
98761340866
103430124313
111500241190
127b88a9789
13428842575
142477ad437
151512081e3
hexcc738b19

3430124313 has 24 divisors (see below), whose sum is σ = 5803849440. Its totient is φ = 1781881920.

The previous prime is 3430124311. The next prime is 3430124339. The reversal of 3430124313 is 3134210343.

3430124313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3430124313 - 21 = 3430124311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3430124311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059028 + ... + 1062261.

It is an arithmetic number, because the mean of its divisors is an integer number (241827060).

Almost surely, 23430124313 is an apocalyptic number.

3430124313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3430124313 is a deficient number, since it is larger than the sum of its proper divisors (2373725127).

3430124313 is a wasteful number, since it uses less digits than its factorization.

3430124313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121317 (or 2121310 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3430124313 is about 58567.2631510130. The cubic root of 3430124313 is about 1508.1225021382.

Adding to 3430124313 its reverse (3134210343), we get a palindrome (6564334656).

The spelling of 3430124313 in words is "three billion, four hundred thirty million, one hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 2121289 6363867 14849023 23334179 44547069 70002537 103943161 163339253 311829483 490017759 1143374771 3430124313