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352440 = 233251189
BaseRepresentation
bin1010110000010111000
3122220110100
41112002320
542234230
611315400
72665344
oct1260270
9586410
10352440
11220880
1214bb60
13c455a
1492624
156e660
hex560b8

352440 has 96 divisors (see below), whose sum is σ = 1263600. Its totient is φ = 84480.

The previous prime is 352423. The next prime is 352441. The reversal of 352440 is 44253.

It is a happy number.

352440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3524403 = 131333897420352000, which contains 333 as substring.

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 (352441) by changing a digit.

352440 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 23 ways as a sum of consecutive naturals, for example, 3916 + ... + 4004.

2352440 is an apocalyptic number.

352440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631800).

352440 is an abundant number, since it is smaller than the sum of its proper divisors (911160).

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

352440 is a wasteful number, since it uses less digits than its factorization.

352440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 352440 is about 593.6665730863. Note that the first 3 decimals coincide. The cubic root of 352440 is about 70.6363740263.

Adding to 352440 its reverse (44253), we get a palindrome (396693).

The spelling of 352440 in words is "three hundred fifty-two thousand, four hundred forty".