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343143164 = 2271317232411
BaseRepresentation
bin10100011100111…
…111001011111100
3212220200110221002
4110130333023330
51200321040124
654014425432
711334445250
oct2434771374
9786613832
10343143164
111667715a1
1296b02278
13561251c0
1433804260
15201d20ae
hex1473f2fc

343143164 has 96 divisors (see below), whose sum is σ = 816915456. Its totient is φ = 122158080.

The previous prime is 343143133. The next prime is 343143169. The reversal of 343143164 is 461341343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343143169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141119 + ... + 143529.

It is an arithmetic number, because the mean of its divisors is an integer number (8509536).

Almost surely, 2343143164 is an apocalyptic number.

343143164 is a gapful number since it is divisible by the number (34) 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 343143164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408457728).

343143164 is an abundant number, since it is smaller than the sum of its proper divisors (473772292).

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

343143164 is a wasteful number, since it uses less digits than its factorization.

343143164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2473 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 343143164 is about 18524.1238389296. The cubic root of 343143164 is about 700.0973769295.

The spelling of 343143164 in words is "three hundred forty-three million, one hundred forty-three thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 17 23 26 28 34 46 52 68 91 92 119 161 182 221 238 299 322 364 391 442 476 598 644 782 884 1196 1547 1564 2093 2411 2737 3094 4186 4822 5083 5474 6188 8372 9644 10166 10948 16877 20332 31343 33754 35581 40987 55453 62686 67508 71162 81974 110906 125372 142324 163948 219401 221812 286909 388171 438802 532831 573818 720889 776342 877604 942701 1065662 1147636 1441778 1552684 1885402 2131324 2883556 3729817 3770804 5046223 6598907 7459634 10092446 12255113 13197814 14919268 20184892 24510226 26395628 49020452 85785791 171571582 343143164