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2352000 = 2735372
BaseRepresentation
bin1000111110001110000000
311102111100010
420332032000
51100231000
6122224520
725664100
oct10761600
94374303
102352000
111367102
12955140
13644721
14453200
15316d50
hex23e380

2352000 has 192 divisors, whose sum is σ = 9069840. Its totient is φ = 537600.

The previous prime is 2351989. The next prime is 2352011. The reversal of 2352000 is 2532.

It is an interprime number because it is at equal distance from previous prime (2351989) and next prime (2352011).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335997 + ... + 336003.

22352000 is an apocalyptic number.

2352000 is a gapful number since it is divisible by the number (20) 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 2352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534920).

2352000 is an abundant number, since it is smaller than the sum of its proper divisors (6717840).

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

2352000 is an equidigital number, since it uses as much as digits as its factorization.

2352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2352000 is about 1533.6231610145. The cubic root of 2352000 is about 132.9879952230.

Adding to 2352000 its reverse (2532), we get a palindrome (2354532).

The spelling of 2352000 in words is "two million, three hundred fifty-two thousand".