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3380130 = 235513107
BaseRepresentation
bin1100111001001110100010
320100201200000
430321032202
51331131010
6200240430
740505415
oct14711642
96321600
103380130
1119a95a6
121170116
139146a0
1463db7c
1546b7c0
hex3393a2

3380130 has 96 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 824256.

The previous prime is 3380129. The next prime is 3380137. The reversal of 3380130 is 310833.

3380130 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-2 number, since 2×33801302 = 22850557633800, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3380137) by changing a digit.

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, 31537 + ... + 31643.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

Almost surely, 23380130 is an apocalyptic number.

3380130 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 3380130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3380130 is an abundant number, since it is smaller than the sum of its proper divisors (6526494).

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

3380130 is a wasteful number, since it uses less digits than its factorization.

3380130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

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

The square root of 3380130 is about 1838.5129860841. The cubic root of 3380130 is about 150.0759615258.

Adding to 3380130 its reverse (310833), we get a palindrome (3690963).

The spelling of 3380130 in words is "three million, three hundred eighty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 107 117 130 135 162 195 214 234 243 270 321 351 390 405 486 535 585 642 702 810 963 1053 1070 1170 1215 1391 1605 1755 1926 2106 2430 2782 2889 3159 3210 3510 4173 4815 5265 5778 6318 6955 8346 8667 9630 10530 12519 13910 14445 15795 17334 20865 25038 26001 28890 31590 37557 41730 43335 52002 62595 75114 86670 112671 125190 130005 187785 225342 260010 338013 375570 563355 676026 1126710 1690065 3380130