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34024236509 = 1761165719801
BaseRepresentation
bin11111101100000000…
…001010010111011101
310020211012121022001202
4133230000022113131
51024140201032014
623344105245245
72313103144544
oct375400122735
9106735538052
1034024236509
111347a88152a
126716793825
133293021333
14190aaab15b
15d4208a3de
hex7ec00a5dd

34024236509 has 16 divisors (see below), whose sum is σ = 36640195056. Its totient is φ = 31477248000.

The previous prime is 34024236497. The next prime is 34024236551. The reversal of 34024236509 is 90563242043.

It can be written as a sum of positive squares in 8 ways, for example, as 11969016409 + 22055220100 = 109403^2 + 148510^2 .

It is a cyclic number.

It is not a de Polignac number, because 34024236509 - 224 = 34007459293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024236599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1708409 + ... + 1728209.

It is an arithmetic number, because the mean of its divisors is an integer number (2290012191).

Almost surely, 234024236509 is an apocalyptic number.

It is an amenable number.

34024236509 is a deficient number, since it is larger than the sum of its proper divisors (2615958547).

34024236509 is a wasteful number, since it uses less digits than its factorization.

34024236509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21536.

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 34024236509 in words is "thirty-four billion, twenty-four million, two hundred thirty-six thousand, five hundred nine".

Divisors: 1 17 61 1037 1657 19801 28169 101077 336617 1207861 1718309 20533637 32810257 557774369 2001425677 34024236509