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340133892 = 22373174861
BaseRepresentation
bin10100010001100…
…000100000000100
3212201000120222120
4110101200200010
51144033241032
653430125540
711300043000
oct2421404004
9781016876
10340133892
11164aa669a
1295ab08b0
1355610577
143325d700
151ecda62c
hex14460804

340133892 has 96 divisors (see below), whose sum is σ = 980179200. Its totient is φ = 91445760.

The previous prime is 340133863. The next prime is 340133897. The reversal of 340133892 is 298331043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (340133897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67542 + ... + 72402.

It is an arithmetic number, because the mean of its divisors is an integer number (10210200).

Almost surely, 2340133892 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 340133892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490089600).

340133892 is an abundant number, since it is smaller than the sum of its proper divisors (640045308).

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

340133892 is a wasteful number, since it uses less digits than its factorization.

340133892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 340133892 is about 18442.7192138253. The cubic root of 340133892 is about 698.0448106578.

The spelling of 340133892 in words is "three hundred forty million, one hundred thirty-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 343 357 476 588 686 714 833 1029 1372 1428 1666 2058 2499 3332 4116 4861 4998 5831 9722 9996 11662 14583 17493 19444 23324 29166 34027 34986 58332 68054 69972 82637 102081 136108 165274 204162 238189 247911 330548 408324 476378 495822 578459 714567 952756 991644 1156918 1429134 1667323 1735377 2313836 2858268 3334646 3470754 4049213 5001969 6669292 6941508 8098426 10003938 12147639 16196852 20007876 24295278 28344491 48590556 56688982 85033473 113377964 170066946 340133892