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34412242356 = 223217921125309
BaseRepresentation
bin100000000011001000…
…010010010110110100
310021211020201001000200
4200003020102112310
51030434013223411
623450405440500
72325524143122
oct400310222664
9107736631020
1034412242356
11136598a5018
126804710130
1333255234ab
14194642c912
15d6617ee56
hex8032125b4

34412242356 has 72 divisors (see below), whose sum is σ = 87890493600. Its totient is φ = 11352156480.

The previous prime is 34412242339. The next prime is 34412242379. The reversal of 34412242356 is 65324221443.

34412242356 is a `hidden beast` number, since 3 + 4 + 412 + 2 + 4 + 235 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34412242356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347030 + ... + 1372338.

It is an arithmetic number, because the mean of its divisors is an integer number (1220701300).

Almost surely, 234412242356 is an apocalyptic number.

34412242356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34412242356 is an abundant number, since it is smaller than the sum of its proper divisors (53478251244).

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

34412242356 is a wasteful number, since it uses less digits than its factorization.

34412242356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25709 (or 25704 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 34412242356 its reverse (65324221443), we get a palindrome (99736463799).

The spelling of 34412242356 in words is "thirty-four billion, four hundred twelve million, two hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 179 211 358 422 537 633 716 844 1074 1266 1611 1899 2148 2532 3222 3798 6444 7596 25309 37769 50618 75538 75927 101236 113307 151076 151854 226614 227781 303708 339921 453228 455562 679842 911124 1359684 4530311 5340199 9060622 10680398 13590933 16020597 18121244 21360796 27181866 32041194 40772799 48061791 54363732 64082388 81545598 96123582 163091196 192247164 955895621 1911791242 2867686863 3823582484 5735373726 8603060589 11470747452 17206121178 34412242356