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352315242 = 2321723113443
BaseRepresentation
bin10100111111111…
…110011101101010
3220112221110122200
4110333332131222
51210143041432
654543201030
711505426066
oct2477763552
9815843580
10352315242
11170966724
1299ba6176
1357cb6c76
1434b10aa6
1520de4a7c
hex14ffe76a

352315242 has 96 divisors (see below), whose sum is σ = 852778368. Its totient is φ = 104552448.

The previous prime is 352315241. The next prime is 352315253. The reversal of 352315242 is 242513253.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (352315241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795073 + ... + 795515.

It is an arithmetic number, because the mean of its divisors is an integer number (8883108).

Almost surely, 2352315242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352315242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426389184).

352315242 is an abundant number, since it is smaller than the sum of its proper divisors (500463126).

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

352315242 is a wasteful number, since it uses less digits than its factorization.

352315242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 601 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 352315242 is about 18770.0623866837. The cubic root of 352315242 is about 706.2803833536.

Adding to 352315242 its reverse (242513253), we get a palindrome (594828495).

The spelling of 352315242 in words is "three hundred fifty-two million, three hundred fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 113 138 153 207 226 306 339 391 414 443 678 782 886 1017 1173 1329 1921 2034 2346 2599 2658 3519 3842 3987 5198 5763 7038 7531 7797 7974 10189 11526 15062 15594 17289 20378 22593 23391 30567 34578 44183 45186 46782 50059 61134 67779 88366 91701 100118 132549 135558 150177 173213 183402 265098 300354 346426 397647 450531 519639 795294 851003 901062 1039278 1151357 1558917 1702006 2302714 2553009 3117834 3454071 5106018 6908142 7659027 10362213 15318054 19573069 20724426 39146138 58719207 117438414 176157621 352315242