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342066252 = 2231129193463
BaseRepresentation
bin10100011000111…
…000010001001100
3212211122202200110
4110120320101030
51200032110002
653535400020
711322341463
oct2430702114
9784582613
10342066252
111660a6490
1296683010
1355b38c88
14336039da
152006ce6c
hex1463844c

342066252 has 96 divisors (see below), whose sum is σ = 907361280. Its totient is φ = 99348480.

The previous prime is 342066251. The next prime is 342066259. The reversal of 342066252 is 252660243.

It is not an unprimeable number, because it can be changed into a prime (342066251) 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 31 ways as a sum of consecutive naturals, for example, 738573 + ... + 739035.

It is an arithmetic number, because the mean of its divisors is an integer number (9451680).

Almost surely, 2342066252 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 342066252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453680640).

342066252 is an abundant number, since it is smaller than the sum of its proper divisors (565295028).

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

342066252 is a wasteful number, since it uses less digits than its factorization.

342066252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 342066252 is about 18495.0331710976. The cubic root of 342066252 is about 699.3642200020.

The spelling of 342066252 in words is "three hundred forty-two million, sixty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 193 319 348 386 463 579 638 772 926 957 1158 1276 1389 1852 1914 2123 2316 2778 3828 4246 5093 5556 5597 6369 8492 10186 11194 12738 13427 15279 16791 20372 22388 25476 26854 30558 33582 40281 53708 61116 61567 67164 80562 89359 123134 147697 161124 178718 184701 246268 268077 295394 357436 369402 443091 536154 590788 738804 886182 982949 1072308 1772364 1965898 2591411 2948847 3931796 5182822 5897694 7774233 10365644 11795388 15548466 28505521 31096932 57011042 85516563 114022084 171033126 342066252