Search a number
-
+
352251342 = 237292777
BaseRepresentation
bin10100111111101…
…110110111001110
3220112211020000000
4110333232313032
51210134020332
654541545130
711505041562
oct2477566716
9815736000
10352251342
11170922713
1299b751a6
1357c93b61
1434ad56a2
1520dd0b7c
hex14feedce

352251342 has 64 divisors (see below), whose sum is σ = 820065600. Its totient is φ = 113327424.

The previous prime is 352251311. The next prime is 352251343. The reversal of 352251342 is 243152253.

It is a happy number.

352251342 is a `hidden beast` number, since 3 + 522 + 5 + 134 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352251343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125458 + ... + 128234.

It is an arithmetic number, because the mean of its divisors is an integer number (12813525).

Almost surely, 2352251342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352251342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410032800).

352251342 is an abundant number, since it is smaller than the sum of its proper divisors (467814258).

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

352251342 is an equidigital number, since it uses as much as digits as its factorization.

352251342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2811 counting only the distinct ones).

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

The square root of 352251342 is about 18768.3601308159. The cubic root of 352251342 is about 706.2376810235.

The spelling of 352251342 in words is "three hundred fifty-two million, two hundred fifty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 729 783 1458 1566 2187 2349 2777 4374 4698 5554 7047 8331 14094 16662 21141 24993 42282 49986 63423 74979 80533 126846 149958 161066 224937 241599 449874 483198 674811 724797 1349622 1449594 2024433 2174391 4048866 4348782 6073299 6523173 12146598 13046346 19569519 39139038 58708557 117417114 176125671 352251342