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342343120 = 24573791613
BaseRepresentation
bin10100011001111…
…011110111010000
3212212011211110211
4110121323313100
51200114434440
653545333504
711324603620
oct2431736720
9785154424
10342343120
111662754a9
1296797294
1355c04cc2
1433676880
15200c4eea
hex1467bdd0

342343120 has 80 divisors (see below), whose sum is σ = 912620160. Its totient is φ = 116992512.

The previous prime is 342343087. The next prime is 342343139. The reversal of 342343120 is 21343243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3423431202 = 234397623622668800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342343091 and 342343100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211434 + ... + 213046.

It is an arithmetic number, because the mean of its divisors is an integer number (11407752).

Almost surely, 2342343120 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 342343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456310080).

342343120 is an abundant number, since it is smaller than the sum of its proper divisors (570277040).

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

342343120 is a wasteful number, since it uses less digits than its factorization.

342343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2006 counting only the distinct ones).

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

The square root of 342343120 is about 18502.5165855891. The cubic root of 342343120 is about 699.5528572942.

Adding to 342343120 its reverse (21343243), we get a palindrome (363686363).

The spelling of 342343120 in words is "three hundred forty-two million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 379 560 758 1516 1613 1895 2653 3032 3226 3790 5306 6064 6452 7580 8065 10612 11291 12904 13265 15160 16130 21224 22582 25808 26530 30320 32260 42448 45164 53060 56455 64520 90328 106120 112910 129040 180656 212240 225820 451640 611327 903280 1222654 2445308 3056635 4279289 4890616 6113270 8558578 9781232 12226540 17117156 21396445 24453080 34234312 42792890 48906160 68468624 85585780 171171560 342343120