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343134220 = 225112132839
BaseRepresentation
bin10100011100111…
…101000000001100
3212220200000122211
4110130331000030
51200320243340
654014320204
711334410212
oct2434750014
9786600584
10343134220
11166765900
1296ab9064
1356121100
1433800cb2
15201ce5ea
hex1473d00c

343134220 has 108 divisors (see below), whose sum is σ = 858679920. Its totient is φ = 115040640.

The previous prime is 343134203. The next prime is 343134221. The reversal of 343134220 is 22431343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 343134191 and 343134200.

It is not an unprimeable number, because it can be changed into a prime (343134221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 408561 + ... + 409399.

It is an arithmetic number, because the mean of its divisors is an integer number (7950740).

Almost surely, 2343134220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429339960).

343134220 is an abundant number, since it is smaller than the sum of its proper divisors (515545700).

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

343134220 is a wasteful number, since it uses less digits than its factorization.

343134220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 343134220 is about 18523.8824224297. The cubic root of 343134220 is about 700.0912942153.

Adding to 343134220 its reverse (22431343), we get a palindrome (365565563).

The spelling of 343134220 in words is "three hundred forty-three million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 169 220 242 260 286 338 484 572 605 676 715 839 845 1210 1430 1573 1678 1690 1859 2420 2860 3146 3356 3380 3718 4195 6292 7436 7865 8390 9229 9295 10907 15730 16780 18458 18590 20449 21814 31460 36916 37180 40898 43628 46145 54535 81796 92290 101519 102245 109070 119977 141791 184580 203038 204490 218140 239954 283582 406076 408980 479908 507595 567164 599885 708955 1015190 1199770 1319747 1417910 1559701 2030380 2399540 2639494 2835820 3119402 5278988 6238804 6598735 7798505 13197470 15597010 17156711 26394940 31194020 34313422 68626844 85783555 171567110 343134220