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342221922 = 23472313121
BaseRepresentation
bin10100011001011…
…110010001100010
3212211221200020000
4110121132101202
51200102100142
653543000430
711323560360
oct2431362142
9784850200
10342221922
111661a2439
1296739116
1355b91aa3
1433644630
152009e14c
hex1465e462

342221922 has 80 divisors (see below), whose sum is σ = 914550912. Its totient is φ = 93519360.

The previous prime is 342221921. The next prime is 342221933. The reversal of 342221922 is 229122243.

342221922 is a `hidden beast` number, since 3 + 422 + 219 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342221921) 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 39 ways as a sum of consecutive naturals, for example, 19522 + ... + 32642.

Almost surely, 2342221922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342221922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457275456).

342221922 is an abundant number, since it is smaller than the sum of its proper divisors (572328990).

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

342221922 is a wasteful number, since it uses less digits than its factorization.

342221922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13165 (or 13156 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 342221922 is about 18499.2411195703. The cubic root of 342221922 is about 699.4702944993.

The spelling of 342221922 in words is "three hundred forty-two million, two hundred twenty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 483 567 621 966 1134 1242 1449 1863 2898 3726 4347 8694 13041 13121 26082 26242 39363 78726 91847 118089 183694 236178 275541 301783 354267 551082 603566 708534 826623 905349 1062801 1653246 1810698 2112481 2125602 2479869 2716047 4224962 4959738 5432094 6337443 7439607 8148141 12674886 14879214 16296282 19012329 24444423 38024658 48888846 57036987 114073974 171110961 342221922