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340040142 = 232132324167
BaseRepresentation
bin10100010001001…
…001100111001110
3212200211211101100
4110101021213032
51144022241032
653424123530
711266202451
oct2421114716
9780754340
10340040142
11164a42212
1295a665a6
13555a99b0
1433237498
151ecbc97c
hex144499ce

340040142 has 144 divisors (see below), whose sum is σ = 862334928. Its totient is φ = 96180480.

The previous prime is 340040053. The next prime is 340040143. The reversal of 340040142 is 241040043.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340040143) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5075193 + ... + 5075259.

It is an arithmetic number, because the mean of its divisors is an integer number (5988437).

Almost surely, 2340040142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340040142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431167464).

340040142 is an abundant number, since it is smaller than the sum of its proper divisors (522294786).

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

340040142 is a wasteful number, since it uses less digits than its factorization.

340040142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 340040142 is about 18440.1773852639. The cubic root of 340040142 is about 697.9806714899.

Adding to 340040142 its reverse (241040043), we get a palindrome (581080185).

Subtracting from 340040142 its reverse (241040043), we obtain a palindrome (99000099).

The spelling of 340040142 in words is "three hundred forty million, forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 41 46 67 69 78 82 117 123 134 138 201 207 234 246 299 369 402 414 529 533 598 603 738 871 897 943 1058 1066 1206 1541 1587 1599 1742 1794 1886 2613 2691 2747 2829 3082 3174 3198 4623 4761 4797 5226 5382 5494 5658 6877 7839 8241 8487 9246 9522 9594 12259 13754 13869 15678 16482 16974 20033 20631 21689 24518 24723 27738 35443 35711 36777 40066 41262 43378 49446 60099 61893 63181 65067 70886 71422 73554 106329 107133 110331 120198 123786 126362 130134 180297 189543 195201 212658 214266 220662 281957 318987 321399 360594 379086 390402 460759 563914 568629 637974 642798 821353 845871 921518 1137258 1382277 1453163 1642706 1691742 2464059 2537613 2764554 2906326 4146831 4359489 4928118 5075226 7392177 8293662 8718978 13078467 14784354 18891119 26156934 37782238 56673357 113346714 170020071 340040142