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342121220 = 225719413137
BaseRepresentation
bin10100011001000…
…101101100000100
3212211202120002022
4110121011230010
51200040334340
653540502312
711322660650
oct2431055404
9784676068
10342121220
11166133811
12966aa998
1355b57cbc
1433619a60
152007e3b5
hex14645b04

342121220 has 96 divisors (see below), whose sum is σ = 885669120. Its totient is φ = 108380160.

The previous prime is 342121193. The next prime is 342121223. The reversal of 342121220 is 22121243.

It is not an unprimeable number, because it can be changed into a prime (342121223) 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, 107492 + ... + 110628.

It is an arithmetic number, because the mean of its divisors is an integer number (9225720).

Almost surely, 2342121220 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 342121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442834560).

342121220 is an abundant number, since it is smaller than the sum of its proper divisors (543547900).

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

342121220 is a wasteful number, since it uses less digits than its factorization.

342121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 342121220 is about 18496.5191319881. The cubic root of 342121220 is about 699.4016792108.

Adding to 342121220 its reverse (22121243), we get a palindrome (364242463).

The spelling of 342121220 in words is "three hundred forty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 41 70 76 82 95 133 140 164 190 205 266 287 380 410 532 574 665 779 820 1148 1330 1435 1558 2660 2870 3116 3137 3895 5453 5740 6274 7790 10906 12548 15580 15685 21812 21959 27265 31370 43918 54530 59603 62740 87836 109060 109795 119206 128617 219590 238412 257234 298015 417221 439180 514468 596030 643085 834442 900319 1192060 1286170 1668884 1800638 2086105 2443723 2572340 3601276 4172210 4501595 4887446 8344420 9003190 9774892 12218615 17106061 18006380 24437230 34212122 48874460 68424244 85530305 171060610 342121220