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2023916334 = 2311172238089
BaseRepresentation
bin111100010100010…
…1000001100101110
312020001100121021020
41320220220030232
513121110310314
6532455315010
7101104001466
oct17050501456
95201317236
102023916334
119494a2330
1248597ba66
132633cc23b
14152b22ba6
15bca38da9
hex78a2832e

2023916334 has 64 divisors (see below), whose sum is σ = 4697118720. Its totient is φ = 574571520.

The previous prime is 2023916329. The next prime is 2023916341. The reversal of 2023916334 is 4336193202.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2023916295 and 2023916304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246162 + ... + 254250.

It is an arithmetic number, because the mean of its divisors is an integer number (73392480).

Almost surely, 22023916334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023916334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348559360).

2023916334 is an abundant number, since it is smaller than the sum of its proper divisors (2673202386).

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

2023916334 is a wasteful number, since it uses less digits than its factorization.

2023916334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345.

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 2023916334 is about 44987.9576553548. The cubic root of 2023916334 is about 1264.9232788436.

The spelling of 2023916334 in words is "two billion, twenty-three million, nine hundred sixteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 223 374 446 561 669 1122 1338 2453 3791 4906 7359 7582 8089 11373 14718 16178 22746 24267 41701 48534 83402 88979 125103 137513 177958 250206 266937 275026 412539 533874 825078 1512643 1803847 3025286 3607694 4537929 5411541 9075858 10823082 19842317 30665399 39684634 59526951 61330798 91996197 119053902 183992394 337319389 674638778 1011958167 2023916334