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2334350313 = 33313775377
BaseRepresentation
bin1000101100100011…
…0101101111101001
320000200111021122000
42023020311233221
514240043202223
61023345121213
7111563436021
oct21310655751
96020437560
102334350313
11a98752a39
12551929209
132b2811299
14182050a81
15d9e09543
hex8b235be9

2334350313 has 32 divisors (see below), whose sum is σ = 3666385920. Its totient is φ = 1465309440.

The previous prime is 2334350287. The next prime is 2334350323. The reversal of 2334350313 is 3130534332.

It is a happy number.

2334350313 is a `hidden beast` number, since 2 + 3 + 343 + 5 + 0 + 313 = 666.

It is not a de Polignac number, because 2334350313 - 213 = 2334342121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2334350323) 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 31 ways as a sum of consecutive naturals, for example, 6720 + ... + 68657.

It is an arithmetic number, because the mean of its divisors is an integer number (114574560).

Almost surely, 22334350313 is an apocalyptic number.

It is an amenable number.

2334350313 is a deficient number, since it is larger than the sum of its proper divisors (1332035607).

2334350313 is a wasteful number, since it uses less digits than its factorization.

2334350313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75454 (or 75448 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 2334350313 is about 48315.1147468367. The cubic root of 2334350313 is about 1326.5450708469.

Adding to 2334350313 its reverse (3130534332), we get a palindrome (5464884645).

The spelling of 2334350313 in words is "two billion, three hundred thirty-four million, three hundred fifty thousand, three hundred thirteen".

Divisors: 1 3 9 27 31 37 93 111 279 333 837 999 1147 3441 10323 30969 75377 226131 678393 2035179 2336687 2788949 7010061 8366847 21030183 25100541 63090549 75301623 86457419 259372257 778116771 2334350313