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34413314232 = 23311294494947
BaseRepresentation
bin100000000011001100…
…011000000010111000
310021211022201111100210
4200003030120002320
51030434302023412
623450444431120
72325536226123
oct400314300270
9107738644323
1034413314232
111365a467370
126804b484a0
13332580a33b
14194662b3ba
15d662e283c
hex8033180b8

34413314232 has 64 divisors (see below), whose sum is σ = 97090876800. Its totient is φ = 10068679040.

The previous prime is 34413314227. The next prime is 34413314281. The reversal of 34413314232 is 23241331443.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34413314232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2239818 + ... + 2255129.

It is an arithmetic number, because the mean of its divisors is an integer number (1517044950).

Almost surely, 234413314232 is an apocalyptic number.

It is an amenable number.

34413314232 is an abundant number, since it is smaller than the sum of its proper divisors (62677562568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34413314232 is a wasteful number, since it uses less digits than its factorization.

34413314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494996 (or 4494992 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 34413314232 its reverse (23241331443), we get a palindrome (57654645675).

The spelling of 34413314232 in words is "thirty-four billion, four hundred thirteen million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 4494947 8989894 13484841 17979788 26969682 35959576 49444417 53939364 98888834 107878728 130353463 148333251 197777668 260706926 296666502 391060389 395555336 521413852 593333004 782120778 1042827704 1186666008 1433888093 1564241556 2867776186 3128483112 4301664279 5735552372 8603328558 11471104744 17206657116 34413314232