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34045244424 = 233213925113553
BaseRepresentation
bin11111101101010000…
…010011010000001000
310020212200010121111200
4133231100103100020
51024211040310144
623350135424200
72313446542242
oct375520232010
9106780117450
1034045244424
1113490720044
126721825060
133297498459
14190d7b9092
15d43d39c69
hex7ed413408

34045244424 has 96 divisors (see below), whose sum is σ = 93246098400. Its totient is φ = 11221056000.

The previous prime is 34045244407. The next prime is 34045244473. The reversal of 34045244424 is 42444254043.

34045244424 is a `hidden beast` number, since 3 + 404 + 5 + 244 + 4 + 2 + 4 = 666.

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

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, 2505232 + ... + 2518784.

It is an arithmetic number, because the mean of its divisors is an integer number (971313525).

Almost surely, 234045244424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34045244424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46623049200).

34045244424 is an abundant number, since it is smaller than the sum of its proper divisors (59200853976).

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

34045244424 is a wasteful number, since it uses less digits than its factorization.

34045244424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13955 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 34045244424 its reverse (42444254043), we get a palindrome (76489498467).

The spelling of 34045244424 in words is "thirty-four billion, forty-five million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 251 278 417 502 556 753 834 1004 1112 1251 1506 1668 2008 2259 2502 3012 3336 4518 5004 6024 9036 10008 13553 18072 27106 34889 40659 54212 69778 81318 104667 108424 121977 139556 162636 209334 243954 279112 314001 325272 418668 487908 628002 837336 975816 1256004 1883867 2512008 3401803 3767734 5651601 6803606 7535468 10205409 11303202 13607212 15070936 16954803 20410818 22606404 27214424 30616227 33909606 40821636 45212808 61232454 67819212 81643272 122464908 135638424 244929816 472850617 945701234 1418551851 1891402468 2837103702 3782804936 4255655553 5674207404 8511311106 11348414808 17022622212 34045244424