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352968 = 233711191
BaseRepresentation
bin1010110001011001000
3122221011220
41112023020
542243333
611322040
73000030
oct1261310
9587156
10352968
11221210
12150320
13c4875
14928c0
156e8b3
hex562c8

352968 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 91200.

The previous prime is 352951. The next prime is 352973. The reversal of 352968 is 869253.

352968 = T202 + T203 + ... + T217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753 + ... + 1943.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2352968 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 352968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

352968 is an abundant number, since it is smaller than the sum of its proper divisors (752952).

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

352968 is a wasteful number, since it uses less digits than its factorization.

352968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 352968 is about 594.1111007211. Note that the first 4 decimals coincide. The cubic root of 352968 is about 70.6716305203.

Adding to 352968 its reverse (869253), we get a palindrome (1222221).

It can be divided in two parts, 35 and 2968, that added together give a palindrome (3003).

The spelling of 352968 in words is "three hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 191 231 264 308 382 462 573 616 764 924 1146 1337 1528 1848 2101 2292 2674 4011 4202 4584 5348 6303 8022 8404 10696 12606 14707 16044 16808 25212 29414 32088 44121 50424 58828 88242 117656 176484 352968