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342242440 = 235192137173
BaseRepresentation
bin10100011001100…
…011010010001000
3212211222201100221
4110121203102020
51200103224230
653543235424
711324004241
oct2431432210
9784881327
10342242440
111662068a1
1296748b74
1355b9b227
143364bcc8
15200a527a
hex14663488

342242440 has 96 divisors (see below), whose sum is σ = 823371480. Its totient is φ = 128001024.

The previous prime is 342242437. The next prime is 342242441. The reversal of 342242440 is 44242243.

It can be written as a sum of positive squares in 4 ways, for example, as 331312804 + 10929636 = 18202^2 + 3306^2 .

It is not an unprimeable number, because it can be changed into a prime (342242441) 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 23 ways as a sum of consecutive naturals, for example, 1978194 + ... + 1978366.

Almost surely, 2342242440 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 342242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411685740).

342242440 is an abundant number, since it is smaller than the sum of its proper divisors (481129040).

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

342242440 is a wasteful number, since it uses less digits than its factorization.

342242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 342242440 is about 18499.7956745473. The cubic root of 342242440 is about 699.4842731915.

Adding to 342242440 its reverse (44242243), we get a palindrome (386484683).

The spelling of 342242440 in words is "three hundred forty-two million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 137 152 173 190 274 346 361 380 548 685 692 722 760 865 1096 1370 1384 1444 1730 1805 2603 2740 2888 3287 3460 3610 5206 5480 6574 6920 7220 10412 13015 13148 14440 16435 20824 23701 26030 26296 32870 47402 49457 52060 62453 65740 94804 98914 104120 118505 124906 131480 189608 197828 237010 247285 249812 312265 395656 450319 474020 494570 499624 624530 900638 948040 989140 1249060 1801276 1978280 2251595 2498120 3602552 4503190 8556061 9006380 17112122 18012760 34224244 42780305 68448488 85560610 171121220 342242440