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342313110 = 232543197449
BaseRepresentation
bin10100011001110…
…100100010010110
3212212010022022100
4110121310202112
51200113004420
653544542530
711324420256
oct2431644226
9785108270
10342313110
111662549a7
1296781a46
1355bc4449
1433669966
15200bb190
hex14674896

342313110 has 96 divisors (see below), whose sum is σ = 917373600. Its totient is φ = 88510464.

The previous prime is 342313109. The next prime is 342313123. The reversal of 342313110 is 11313243.

342313110 is a `hidden beast` number, since 342 + 313 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762166 + ... + 762614.

It is an arithmetic number, because the mean of its divisors is an integer number (9555975).

Almost surely, 2342313110 is an apocalyptic number.

342313110 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 342313110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458686800).

342313110 is an abundant number, since it is smaller than the sum of its proper divisors (575060490).

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

342313110 is a wasteful number, since it uses less digits than its factorization.

342313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 342313110 is about 18501.7055970524. The cubic root of 342313110 is about 699.5324156248.

Adding to 342313110 its reverse (11313243), we get a palindrome (353626353).

The spelling of 342313110 in words is "three hundred forty-two million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 197 215 258 387 394 430 449 591 645 774 898 985 1182 1290 1347 1773 1935 1970 2245 2694 2955 3546 3870 4041 4490 5910 6735 8082 8471 8865 13470 16942 17730 19307 20205 25413 38614 40410 42355 50826 57921 76239 84710 88453 96535 115842 127065 152478 173763 176906 193070 254130 265359 289605 347526 381195 442265 530718 579210 762390 796077 868815 884530 1326795 1592154 1737630 2653590 3803479 3980385 7606958 7960770 11410437 19017395 22820874 34231311 38034790 57052185 68462622 114104370 171156555 342313110