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340400412 = 2232117112107
BaseRepresentation
bin10100010010100…
…001100100011100
3212201112010120200
4110102201210130
51144120303122
653435543500
711302233012
oct2422414434
9781463520
10340400412
11165168960
1295bbab90
13556a4981
14332cc8b2
151ed3e5ac
hex144a191c

340400412 has 72 divisors (see below), whose sum is σ = 951979392. Its totient is φ = 101690400.

The previous prime is 340400393. The next prime is 340400413. The reversal of 340400412 is 214004043.

340400412 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

340400412 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340400413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22063 + ... + 34169.

It is an arithmetic number, because the mean of its divisors is an integer number (13221936).

Almost surely, 2340400412 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 340400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475989696).

340400412 is an abundant number, since it is smaller than the sum of its proper divisors (611578980).

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

340400412 is a wasteful number, since it uses less digits than its factorization.

340400412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12199 (or 12194 counting only the distinct ones).

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

The square root of 340400412 is about 18449.9434145474. The cubic root of 340400412 is about 698.2270862613.

Adding to 340400412 its reverse (214004043), we get a palindrome (554404455).

The spelling of 340400412 in words is "three hundred forty million, four hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3124 4686 7029 9372 12107 14058 24214 28116 36321 48428 72642 108963 133177 145284 217926 266354 399531 435852 532708 799062 859597 1198593 1598124 1719194 2397186 2578791 3438388 4794372 5157582 7736373 9455567 10315164 15472746 18911134 28366701 30945492 37822268 56733402 85100103 113466804 170200206 340400412