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34236841024 = 2610122292
BaseRepresentation
bin11111111000101011…
…001011110001000000
310021101000122201122001
4133320223023301000
51030104112403044
623421142153344
72321264230021
oct377053136100
9107330581561
1034236841024
1113579893441
126775a22854
1332c809c819
14192b010c48
15d55a842d4
hex7f8acbc40

34236841024 has 63 divisors (see below), whose sum is σ = 68919002751. Its totient is φ = 16874918400.

The previous prime is 34236840997. The next prime is 34236841027. The reversal of 34236841024 is 42014863243.

The square root of 34236841024 is 185032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27367746624 + 6869094400 = 165432^2 + 82880^2 .

It is a super-2 number, since 2×342368410242 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34236841027) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149505742 + ... + 149505970.

Almost surely, 234236841024 is an apocalyptic number.

34236841024 is the 185032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34236841024

34236841024 is an abundant number, since it is smaller than the sum of its proper divisors (34682161727).

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

34236841024 is an frugal number, since it uses more digits than its factorization.

34236841024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 34236841024 in words is "thirty-four billion, two hundred thirty-six million, eight hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 101 202 229 404 458 808 916 1616 1832 3232 3664 6464 7328 10201 14656 20402 23129 40804 46258 52441 81608 92516 104882 163216 185032 209764 326432 370064 419528 652864 740128 839056 1480256 1678112 2336029 3356224 4672058 5296541 9344116 10593082 18688232 21186164 37376464 42372328 74752928 84744656 149505856 169489312 338978624 534950641 1069901282 2139802564 4279605128 8559210256 17118420512 34236841024