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342242420 = 225133733529
BaseRepresentation
bin10100011001100…
…011010001110100
3212211222201100012
4110121203101310
51200103224140
653543235352
711324004212
oct2431432164
9784881305
10342242420
11166206883
1296748b58
1355b9b210
143364bcb2
15200a5265
hex14663474

342242420 has 48 divisors (see below), whose sum is σ = 776289360. Its totient is φ = 125991936.

The previous prime is 342242401. The next prime is 342242423. The reversal of 342242420 is 24242243.

It can be written as a sum of positive squares in 8 ways, for example, as 73479184 + 268763236 = 8572^2 + 16394^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342242423) 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 15 ways as a sum of consecutive naturals, for example, 95216 + ... + 98744.

It is an arithmetic number, because the mean of its divisors is an integer number (16172695).

Almost surely, 2342242420 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 342242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388144680).

342242420 is an abundant number, since it is smaller than the sum of its proper divisors (434046940).

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

342242420 is a wasteful number, since it uses less digits than its factorization.

342242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 342242420 is about 18499.7951340008. The cubic root of 342242420 is about 699.4842595660.

Adding to 342242420 its reverse (24242243), we get a palindrome (366484663).

The spelling of 342242420 in words is "three hundred forty-two million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 373 746 1492 1865 3529 3730 4849 7058 7460 9698 14116 17645 19396 24245 35290 45877 48490 70580 91754 96980 183508 229385 458770 917540 1316317 2632634 5265268 6581585 13163170 17112121 26326340 34224242 68448484 85560605 171121210 342242420