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12434357 = 13412569
BaseRepresentation
bin101111011011…
…101110110101
3212101201201202
4233123232311
511140344412
61122302245
7210455525
oct57335665
925351652
1012434357
117023131
1241b7985
132764910
141919685
1511593c2
hexbdbbb5

12434357 has 12 divisors (see below), whose sum is σ = 13749540. Its totient is φ = 11178240.

The previous prime is 12434351. The next prime is 12434369. The reversal of 12434357 is 75343421.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8145316 + 4289041 = 2854^2 + 2071^2 .

It is a de Polignac number, because none of the positive numbers 2k-12434357 is a prime.

It is a super-2 number, since 2×124343572 = 309226468006898, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434351) 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 11 ways as a sum of consecutive naturals, for example, 21569 + ... + 22137.

It is an arithmetic number, because the mean of its divisors is an integer number (1145795).

Almost surely, 212434357 is an apocalyptic number.

It is an amenable number.

12434357 is a deficient number, since it is larger than the sum of its proper divisors (1315183).

12434357 is an equidigital number, since it uses as much as digits as its factorization.

12434357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 623 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 12434357 is about 3526.2383640361. The cubic root of 12434357 is about 231.6724780443.

Adding to 12434357 its reverse (75343421), we get a palindrome (87777778).

The spelling of 12434357 in words is "twelve million, four hundred thirty-four thousand, three hundred fifty-seven".

Divisors: 1 13 41 533 569 1681 7397 21853 23329 303277 956489 12434357