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2330012034 = 2337417971
BaseRepresentation
bin1000101011100001…
…0010100110000010
320000101022212122000
42022320102212002
514232440341114
61023112124430
7111511530000
oct21270224602
96011285560
102330012034
11a9625a589
12550396716
132b195275c
14181641a70
15d984de09
hex8ae12982

2330012034 has 80 divisors (see below), whose sum is σ = 6040748640. Its totient is φ = 665680680.

The previous prime is 2330011979. The next prime is 2330012039. The reversal of 2330012034 is 4302100332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2330011998 and 2330012016.

It is not an unprimeable number, because it can be changed into a prime (2330012039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120669 + ... + 138639.

It is an arithmetic number, because the mean of its divisors is an integer number (75509358).

Almost surely, 22330012034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330012034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020374320).

2330012034 is an abundant number, since it is smaller than the sum of its proper divisors (3710736606).

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

2330012034 is an equidigital number, since it uses as much as digits as its factorization.

2330012034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18010 (or 17983 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2330012034 is about 48270.1981972314. The cubic root of 2330012034 is about 1325.7227876103.

Adding to 2330012034 its reverse (4302100332), we get a palindrome (6632112366).

The spelling of 2330012034 in words is "two billion, three hundred thirty million, twelve thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1323 2058 2401 2646 3087 4802 6174 7203 9261 14406 17971 18522 21609 35942 43218 53913 64827 107826 125797 129654 161739 251594 323478 377391 485217 754782 880579 970434 1132173 1761158 2264346 2641737 3396519 5283474 6164053 6793038 7925211 12328106 15850422 18492159 23775633 36984318 43148371 47551266 55476477 86296742 110952954 129445113 166429431 258890226 332858862 388335339 776670678 1165006017 2330012034