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343114020 = 223256131249
BaseRepresentation
bin10100011100111…
…000000100100100
3212220121222221200
4110130320010210
51200314122040
654014042500
711334264264
oct2434700444
9786558850
10343114020
11166751707
1296aa9430
1356114b62
14337d77a4
15201c8630
hex14738124

343114020 has 72 divisors (see below), whose sum is σ = 1057875000. Its totient is φ = 89994240.

The previous prime is 343114019. The next prime is 343114067. The reversal of 343114020 is 20411343.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 339959844 = 1776^2 + 18438^2 .

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 = 343113984 and 343114002.

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 23 ways as a sum of consecutive naturals, for example, 4645 + ... + 26604.

Almost surely, 2343114020 is an apocalyptic number.

343114020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528937500).

343114020 is an abundant number, since it is smaller than the sum of its proper divisors (714760980).

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

343114020 is a wasteful number, since it uses less digits than its factorization.

343114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31325 (or 31320 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 343114020 is about 18523.3371723348. The cubic root of 343114020 is about 700.0775560328.

Adding to 343114020 its reverse (20411343), we get a palindrome (363525363).

The spelling of 343114020 in words is "three hundred forty-three million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 31249 62498 93747 124996 156245 187494 281241 312490 374988 468735 562482 624980 937470 1124964 1406205 1874940 1906189 2812410 3812378 5624820 5718567 7624756 9530945 11437134 17155701 19061890 22874268 28592835 34311402 38123780 57185670 68622804 85778505 114371340 171557010 343114020