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342321330 = 235132251269
BaseRepresentation
bin10100011001110…
…110100010110010
3212212010201120210
4110121312202302
51200113240310
653545044550
711324453241
oct2431664262
9785121523
10342321330
1116626009a
1296786756
1355bc8100
143366c958
15200bd820
hex146768b2

342321330 has 96 divisors (see below), whose sum is σ = 896495040. Its totient is φ = 83616000.

The previous prime is 342321311. The next prime is 342321349. The reversal of 342321330 is 33123243.

It is an interprime number because it is at equal distance from previous prime (342321311) and next prime (342321349).

It is a junction number, because it is equal to n+sod(n) for n = 342321297 and 342321306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272436 + ... + 1272704.

It is an arithmetic number, because the mean of its divisors is an integer number (9338490).

Almost surely, 2342321330 is an apocalyptic number.

342321330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448247520).

342321330 is an abundant number, since it is smaller than the sum of its proper divisors (554173710).

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

342321330 is a wasteful number, since it uses less digits than its factorization.

342321330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 342321330 is about 18501.9277374008. The cubic root of 342321330 is about 699.5380148946.

Adding to 342321330 its reverse (33123243), we get a palindrome (375444573).

It can be divided in two parts, 3423213 and 30, that added together give a palindrome (3423243).

The spelling of 342321330 in words is "three hundred forty-two million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 251 269 338 390 502 507 538 753 807 845 1014 1255 1345 1506 1614 1690 2510 2535 2690 3263 3497 3765 4035 5070 6526 6994 7530 8070 9789 10491 16315 17485 19578 20982 32630 34970 42419 45461 48945 52455 67519 84838 90922 97890 104910 127257 135038 136383 202557 212095 227305 254514 272766 337595 405114 424190 454610 636285 675190 681915 877747 1012785 1272570 1363830 1755494 2025570 2633241 4388735 5266482 8777470 11410711 13166205 22821422 26332410 34232133 57053555 68464266 114107110 171160665 342321330