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342686940 = 2235101193293
BaseRepresentation
bin10100011011001…
…111110011011100
3212212211022002220
4110123033303130
51200211440230
654000545340
711330535201
oct2433176334
9785738086
10342686940
1116648a852
1296922250
1355cc564b
1433725ca8
1520141d10
hex146cfcdc

342686940 has 96 divisors (see below), whose sum is σ = 977368896. Its totient is φ = 89702400.

The previous prime is 342686921. The next prime is 342686947. The reversal of 342686940 is 49686243.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 342686892 and 342686901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342686947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169434 + ... + 1169726.

It is an arithmetic number, because the mean of its divisors is an integer number (10180926).

Almost surely, 2342686940 is an apocalyptic number.

342686940 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 342686940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488684448).

342686940 is an abundant number, since it is smaller than the sum of its proper divisors (634681956).

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

342686940 is a wasteful number, since it uses less digits than its factorization.

342686940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 342686940 is about 18511.8054224865. The cubic root of 342686940 is about 699.7869691886.

The spelling of 342686940 in words is "three hundred forty-two million, six hundred eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 193 202 293 303 386 404 505 579 586 606 772 879 965 1010 1158 1172 1212 1465 1515 1758 1930 2020 2316 2895 2930 3030 3516 3860 4395 5790 5860 6060 8790 11580 17580 19493 29593 38986 56549 58479 59186 77972 88779 97465 113098 116958 118372 147965 169647 177558 194930 226196 233916 282745 292395 295930 339294 355116 389860 443895 565490 584790 591860 678588 848235 887790 1130980 1169580 1696470 1775580 3392940 5711449 11422898 17134347 22845796 28557245 34268694 57114490 68537388 85671735 114228980 171343470 342686940