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343013130 = 2345735801
BaseRepresentation
bin10100011100011…
…111011100001010
3212220102212120000
4110130133130022
51200302410010
654011543430
711333364165
oct2434373412
9786385500
10343013130
11166692929
1296a5ab76
13560aac65
14337acadc
15201a87c0
hex1471f70a

343013130 has 80 divisors (see below), whose sum is σ = 935119944. Its totient is φ = 90201600.

The previous prime is 343013123. The next prime is 343013149. The reversal of 343013130 is 31310343.

It can be written as a sum of positive squares in 4 ways, for example, as 339406929 + 3606201 = 18423^2 + 1899^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56230 + ... + 62030.

Almost surely, 2343013130 is an apocalyptic number.

343013130 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 343013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467559972).

343013130 is an abundant number, since it is smaller than the sum of its proper divisors (592106814).

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

343013130 is a wasteful number, since it uses less digits than its factorization.

343013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 343013130 is about 18520.6136507406. The cubic root of 343013130 is about 700.0089318588.

Adding to 343013130 its reverse (31310343), we get a palindrome (374323473).

The spelling of 343013130 in words is "three hundred forty-three million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 365 405 438 657 730 810 1095 1314 1971 2190 3285 3942 5801 5913 6570 9855 11602 11826 17403 19710 29005 29565 34806 52209 58010 59130 87015 104418 156627 174030 261045 313254 423473 469881 522090 783135 846946 939762 1270419 1566270 2117365 2349405 2540838 3811257 4234730 4698810 6352095 7622514 11433771 12704190 19056285 22867542 34301313 38112570 57168855 68602626 114337710 171506565 343013130