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342022014 = 2361713799
BaseRepresentation
bin10100011000101…
…101011101111110
3212211120112000000
4110120231131332
51200024201024
653534415130
711322065505
oct2430553576
9784515000
10342022014
11166076224
12966614a6
1355b21ab9
14335d183c
152005ecc9
hex1462d77e

342022014 has 56 divisors (see below), whose sum is σ = 814503600. Its totient is φ = 107293248.

The previous prime is 342021991. The next prime is 342022019. The reversal of 342022014 is 410220243.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342022019) 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 27 ways as a sum of consecutive naturals, for example, 17887 + ... + 31685.

Almost surely, 2342022014 is an apocalyptic number.

342022014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342022014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407251800).

342022014 is an abundant number, since it is smaller than the sum of its proper divisors (472481586).

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

342022014 is a wasteful number, since it uses less digits than its factorization.

342022014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13836 (or 13821 counting only the distinct ones).

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

The square root of 342022014 is about 18493.8371897235. The cubic root of 342022014 is about 699.3340700842.

Adding to 342022014 its reverse (410220243), we get a palindrome (752242257).

The spelling of 342022014 in words is "three hundred forty-two million, twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2754 4131 8262 12393 13799 24786 27598 41397 82794 124191 234583 248382 372573 469166 703749 745146 1117719 1407498 2111247 2235438 3353157 4222494 6333741 6706314 10059471 12667482 19001223 20118942 38002446 57003669 114007338 171011007 342022014