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352480 = 2552203
BaseRepresentation
bin1010110000011100000
3122220111211
41112003200
542234410
611315504
72665432
oct1260340
9586454
10352480
11220907
1214bb94
13c458b
1492652
156e68a
hex560e0

352480 has 24 divisors (see below), whose sum is σ = 833112. Its totient is φ = 140928.

The previous prime is 352463. The next prime is 352481. The reversal of 352480 is 84253.

It is a super-4 number, since 4×3524804 (a number of 23 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 942 + ... + 1261.

It is an arithmetic number, because the mean of its divisors is an integer number (34713).

2352480 is an apocalyptic number.

It is an amenable number.

352480 is an abundant number, since it is smaller than the sum of its proper divisors (480632).

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

352480 is a wasteful number, since it uses less digits than its factorization.

352480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 352480 is about 593.7002610746. The cubic root of 352480 is about 70.6390462051.

The spelling of 352480 in words is "three hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2203 4406 8812 11015 17624 22030 35248 44060 70496 88120 176240 352480