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3334442430 = 23511191792971
BaseRepresentation
bin1100011010111111…
…1000110110111110
322121101100020002210
43012233320312332
523312104124210
61310512401250
7145426202334
oct30657706676
98541306083
103334442430
111461229a50
12790846226
13411a81377
14238bc3b54
15147b07e20
hexc6bf8dbe

3334442430 has 128 divisors (see below), whose sum is σ = 9244108800. Its totient is φ = 761270400.

The previous prime is 3334442413. The next prime is 3334442437. The reversal of 3334442430 is 342444333.

It is a super-2 number, since 2×33344424302 = 22237012637968609800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334442437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1120845 + ... + 1123815.

It is an arithmetic number, because the mean of its divisors is an integer number (72219600).

Almost surely, 23334442430 is an apocalyptic number.

3334442430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622054400).

3334442430 is an abundant number, since it is smaller than the sum of its proper divisors (5909666370).

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

3334442430 is a wasteful number, since it uses less digits than its factorization.

3334442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190.

The product of its (nonzero) digits is 41472, while the sum is 30.

The square root of 3334442430 is about 57744.6311790109. The cubic root of 3334442430 is about 1493.9672408495.

Adding to 3334442430 its reverse (342444333), we get a palindrome (3676886763).

The spelling of 3334442430 in words is "three billion, three hundred thirty-four million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 179 190 209 285 330 358 418 537 570 627 895 1045 1074 1254 1790 1969 2090 2685 2971 3135 3401 3938 5370 5907 5942 6270 6802 8913 9845 10203 11814 14855 17005 17826 19690 20406 29535 29710 32681 34010 37411 44565 51015 56449 59070 65362 74822 89130 98043 102030 112233 112898 163405 169347 187055 196086 224466 282245 326810 338694 374110 490215 531809 561165 564490 620939 846735 980430 1063618 1122330 1241878 1595427 1693470 1862817 2659045 3104695 3190854 3725634 5318090 5849899 6209390 7977135 9314085 10104371 11699798 15954270 17549697 18628170 20208742 29249495 30313113 35099394 50521855 58498990 60626226 87748485 101043710 111148081 151565565 175496970 222296162 303131130 333444243 555740405 666888486 1111480810 1667221215 3334442430