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352116 = 22329781
BaseRepresentation
bin1010101111101110100
3122220000100
41111331310
542231431
611314100
72664402
oct1257564
9586010
10352116
11220606
1214b930
13c436b
1492472
156e4e6
hex55f74

352116 has 18 divisors (see below), whose sum is σ = 890162. Its totient is φ = 117360.

The previous prime is 352111. The next prime is 352123. The reversal of 352116 is 611253.

352116 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 60516 = 540^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352111) by changing a digit.

352116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4855 + ... + 4926.

2352116 is an apocalyptic number.

352116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

352116 is an abundant number, since it is smaller than the sum of its proper divisors (538046).

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

352116 is a wasteful number, since it uses less digits than its factorization.

352116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9791 (or 9786 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 352116 is about 593.3936298950. The cubic root of 352116 is about 70.6147219230.

Adding to 352116 its reverse (611253), we get a palindrome (963369).

The spelling of 352116 in words is "three hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 9781 19562 29343 39124 58686 88029 117372 176058 352116