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341315442 = 232132295373
BaseRepresentation
bin10100010110000…
…000111101110010
3212210020121202200
4110112000331302
51144334043232
653511324030
711313063516
oct2426007562
9783217680
10341315442
11165733386
1296380616
1355935300
143348a146
151ee7077c
hex14580f72

341315442 has 144 divisors (see below), whose sum is σ = 855583560. Its totient is φ = 98122752.

The previous prime is 341315441. The next prime is 341315453. The reversal of 341315442 is 244513143.

It is a happy number.

341315442 is a `hidden beast` number, since 341 + 315 + 4 + 4 + 2 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8946081 + 332369361 = 2991^2 + 18231^2 .

It is not an unprimeable number, because it can be changed into a prime (341315441) 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 71 ways as a sum of consecutive naturals, for example, 4675518 + ... + 4675590.

Almost surely, 2341315442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341315442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427791780).

341315442 is an abundant number, since it is smaller than the sum of its proper divisors (514268118).

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

341315442 is a wasteful number, since it uses less digits than its factorization.

341315442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 341315442 is about 18474.7244093112. The cubic root of 341315442 is about 698.8521610137.

Adding to 341315442 its reverse (244513143), we get a palindrome (585828585).

The spelling of 341315442 in words is "three hundred forty-one million, three hundred fifteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 53 58 73 78 87 106 117 146 159 169 174 219 234 261 318 338 377 438 477 507 522 657 689 754 949 954 1014 1131 1314 1378 1521 1537 1898 2067 2117 2262 2847 3042 3074 3393 3869 4134 4234 4611 4901 5694 6201 6351 6786 7738 8541 8957 9222 9802 11607 12337 12402 12702 13833 14703 17082 17914 19053 19981 23214 24674 26871 27521 27666 29406 34821 37011 38106 39962 44109 50297 53742 55042 59943 69642 74022 80613 82563 88218 100594 111033 112201 119886 150891 161226 165126 179829 222066 224402 247689 259753 301782 336603 357773 359658 452673 495378 519506 653861 673206 715546 779259 905346 1009809 1073319 1307722 1458613 1558518 1961583 2019618 2146638 2337777 2917226 3219957 3923166 4375839 4675554 5884749 6439914 8751678 11769498 13127517 18961969 26255034 37923938 56885907 113771814 170657721 341315442