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340140112 = 241337193229
BaseRepresentation
bin10100010001100…
…010000001010000
3212201000220111221
4110101202001100
51144033440422
653430214424
711300100064
oct2421420120
9781026457
10340140112
11165000334
1295ab4414
1355613350
1433261aa4
151ecdc3c7
hex14462050

340140112 has 80 divisors (see below), whose sum is σ = 735873040. Its totient is φ = 151289856.

The previous prime is 340140107. The next prime is 340140113. The reversal of 340140112 is 211041043.

It can be written as a sum of positive squares in 8 ways, for example, as 8317456 + 331822656 = 2884^2 + 18216^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340140113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485214 + ... + 1485442.

It is an arithmetic number, because the mean of its divisors is an integer number (9198413).

Almost surely, 2340140112 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 340140112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367936520).

340140112 is an abundant number, since it is smaller than the sum of its proper divisors (395732928).

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

340140112 is a wasteful number, since it uses less digits than its factorization.

340140112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 340140112 is about 18442.8878432853. The cubic root of 340140112 is about 698.0490656609.

Adding to 340140112 its reverse (211041043), we get a palindrome (551181155).

The spelling of 340140112 in words is "three hundred forty million, one hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 193 208 229 296 386 458 481 592 772 916 962 1544 1832 1924 2509 2977 3088 3664 3848 5018 5954 7141 7696 8473 10036 11908 14282 16946 20072 23816 28564 33892 40144 44197 47632 57128 67784 88394 92833 110149 114256 135568 176788 185666 220298 353576 371332 440596 574561 707152 742664 881192 1149122 1485328 1635289 1762384 2298244 3270578 4596488 6541156 9192976 13082312 21258757 26164624 42517514 85035028 170070056 340140112