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2024120034 = 232112451113
BaseRepresentation
bin111100010100101…
…1001111011100010
312020001201221200200
41320221121323202
513121133320114
6532503530030
7101105510406
oct17051317342
95201657620
102024120034
11949621382
12485a59916
13263470b81
14152b77106
15bca79409
hex78a59ee2

2024120034 has 12 divisors (see below), whose sum is σ = 4385593446. Its totient is φ = 674706672.

The previous prime is 2024120023. The next prime is 2024120041. The reversal of 2024120034 is 4300214202.

It can be written as a sum of positive squares in only one way, i.e., 1169434809 + 854685225 = 34197^2 + 29235^2 .

It is a super-2 number, since 2×20241200342 = 8194123824080322312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 112451113 = 2024120034 / (2 + 0 + 2 + 4 + 1 + 2 + 0 + 0 + 3 + 4).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2024119989 and 2024120016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56225539 + ... + 56225574.

Almost surely, 22024120034 is an apocalyptic number.

2024120034 is an abundant number, since it is smaller than the sum of its proper divisors (2361473412).

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

2024120034 is a wasteful number, since it uses less digits than its factorization.

2024120034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112451121 (or 112451118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2024120034 is about 44990.2215375741. The cubic root of 2024120034 is about 1264.9657141004.

Adding to 2024120034 its reverse (4300214202), we get a palindrome (6324334236).

The spelling of 2024120034 in words is "two billion, twenty-four million, one hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 112451113 224902226 337353339 674706678 1012060017 2024120034