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343125420 = 2235113714051
BaseRepresentation
bin10100011100111…
…010110110101100
3212220122120120220
4110130322312230
51200320003140
654014211340
711334342441
oct2434726654
9786576526
10343125420
1116675a230
1296ab3b50
135611a0c1
14337db9c8
15201cbbd0
hex1473adac

343125420 has 96 divisors (see below), whose sum is σ = 1076495616. Its totient is φ = 80928000.

The previous prime is 343125407. The next prime is 343125421. The reversal of 343125420 is 24521343.

It is not an unprimeable number, because it can be changed into a prime (343125421) 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, 17395 + ... + 31445.

It is an arithmetic number, because the mean of its divisors is an integer number (11213496).

Almost surely, 2343125420 is an apocalyptic number.

343125420 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 343125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538247808).

343125420 is an abundant number, since it is smaller than the sum of its proper divisors (733370196).

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

343125420 is a wasteful number, since it uses less digits than its factorization.

343125420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14111 (or 14109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 343125420 is about 18523.6448897079. The cubic root of 343125420 is about 700.0853093308.

Adding to 343125420 its reverse (24521343), we get a palindrome (367646763).

The spelling of 343125420 in words is "three hundred forty-three million, one hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 14051 24420 28102 42153 56204 70255 84306 140510 154561 168612 210765 281020 309122 421530 463683 519887 618244 772805 843060 927366 1039774 1545610 1559661 1854732 2079548 2318415 2599435 3091220 3119322 4636830 5198870 5718757 6238644 7798305 9273660 10397740 11437514 15596610 17156271 22875028 28593785 31193220 34312542 57187570 68625084 85781355 114375140 171562710 343125420