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352248 = 233131129
BaseRepresentation
bin1010101111111111000
3122220012020
41111333320
542232443
611314440
72664651
oct1257770
9586166
10352248
11220716
1214ba20
13c4440
1492528
156e583
hex55ff8

352248 has 32 divisors (see below), whose sum is σ = 949200. Its totient is φ = 108288.

The previous prime is 352237. The next prime is 352249. The reversal of 352248 is 842253.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352249) by changing a digit.

352248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 253 + ... + 876.

2352248 is an apocalyptic number.

It is an amenable number.

352248 is an abundant number, since it is smaller than the sum of its proper divisors (596952).

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

352248 is a wasteful number, since it uses less digits than its factorization.

352248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1147 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 352248 is about 593.5048441251. The cubic root of 352248 is about 70.6235447530.

It can be divided in two parts, 3522 and 48, that added together give a triangular number (3570 = T84).

The spelling of 352248 in words is "three hundred fifty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1129 2258 3387 4516 6774 9032 13548 14677 27096 29354 44031 58708 88062 117416 176124 352248