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2302680 = 233531619
BaseRepresentation
bin1000110010001011011000
311022222200110
420302023120
51042141210
6121204320
725400232
oct10621330
94288613
102302680
111333046
129306a0
13628143
1443d252
15307420
hex2322d8

2302680 has 64 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 593280.

The previous prime is 2302679. The next prime is 2302681. The reversal of 2302680 is 862032.

It is an interprime number because it is at equal distance from previous prime (2302679) and next prime (2302681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3411 + ... + 4029.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

22302680 is an apocalyptic number.

2302680 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 2302680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2302680 is an abundant number, since it is smaller than the sum of its proper divisors (4839720).

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

2302680 is a wasteful number, since it uses less digits than its factorization.

2302680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2302680 is about 1517.4584014068. The cubic root of 2302680 is about 132.0518620820.

The spelling of 2302680 in words is "two million, three hundred two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 619 620 744 930 1238 1240 1857 1860 2476 3095 3714 3720 4952 6190 7428 9285 12380 14856 18570 19189 24760 37140 38378 57567 74280 76756 95945 115134 153512 191890 230268 287835 383780 460536 575670 767560 1151340 2302680