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2348080 = 24572599
BaseRepresentation
bin1000111101010000110000
311102021221221
420331100300
51100114310
6122154424
725646500
oct10752060
94367857
102348080
111364169
12952a14
136429c7
14451a00
15315ada
hex23d430

2348080 has 60 divisors (see below), whose sum is σ = 6361200. Its totient is φ = 803712.

The previous prime is 2348053. The next prime is 2348081. The reversal of 2348080 is 808432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3621 + ... + 4219.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

22348080 is an apocalyptic number.

2348080 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 2348080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180600).

2348080 is an abundant number, since it is smaller than the sum of its proper divisors (4013120).

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

2348080 is a wasteful number, since it uses less digits than its factorization.

2348080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2348080 is about 1532.3446087614. The cubic root of 2348080 is about 132.9140719197.

The spelling of 2348080 in words is "two million, three hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 599 784 980 1198 1960 2396 2995 3920 4193 4792 5990 8386 9584 11980 16772 20965 23960 29351 33544 41930 47920 58702 67088 83860 117404 146755 167720 234808 293510 335440 469616 587020 1174040 2348080