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2352880 = 24529411
BaseRepresentation
bin1000111110011011110000
311102112112201
420332123300
51100243010
6122232544
725666465
oct10763360
94375481
102352880
111367832
12955754
13644c4a
1445366c
1531723a
hex23e6f0

2352880 has 20 divisors (see below), whose sum is σ = 5470632. Its totient is φ = 941120.

The previous prime is 2352841. The next prime is 2352881. The reversal of 2352880 is 882532.

It is a tau number, because it is divible by the number of its divisors (20).

It is a d-powerful number, because it can be written as 28 + 37 + 59 + 217 + 84 + 86 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14626 + ... + 14785.

22352880 is an apocalyptic number.

2352880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2352880 is an abundant number, since it is smaller than the sum of its proper divisors (3117752).

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

2352880 is a wasteful number, since it uses less digits than its factorization.

2352880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29424 (or 29418 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2352880 is about 1533.9100364754. The cubic root of 2352880 is about 133.0045789593.

The spelling of 2352880 in words is "two million, three hundred fifty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 29411 58822 117644 147055 235288 294110 470576 588220 1176440 2352880