[go: up one dir, main page]

Search a number
-
+
3308130 = 232575989
BaseRepresentation
bin1100100111101001100010
320020001220100
430213221202
51321330010
6154523230
740055460
oct14475142
96201810
103308130
11195a4a1
121136516
138ba997
14621830
154552c0
hex327a62

3308130 has 96 divisors (see below), whose sum is σ = 10108800. Its totient is φ = 734976.

The previous prime is 3308093. The next prime is 3308153. The reversal of 3308130 is 318033.

3308130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×33081303 (a number of 21 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37126 + ... + 37214.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

Almost surely, 23308130 is an apocalyptic number.

3308130 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 3308130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054400).

3308130 is an abundant number, since it is smaller than the sum of its proper divisors (6800670).

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

3308130 is a wasteful number, since it uses less digits than its factorization.

3308130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3308130 is about 1818.8265447810. The cubic root of 3308130 is about 149.0027175457.

The spelling of 3308130 in words is "three million, three hundred eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 59 63 70 89 90 105 118 126 177 178 210 267 295 315 354 413 445 531 534 590 623 630 801 826 885 890 1062 1239 1246 1335 1602 1770 1869 2065 2478 2655 2670 3115 3717 3738 4005 4130 5251 5310 5607 6195 6230 7434 8010 9345 10502 11214 12390 15753 18585 18690 26255 28035 31506 36757 37170 47259 52510 56070 73514 78765 94518 110271 157530 183785 220542 236295 330813 367570 472590 551355 661626 1102710 1654065 3308130