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2306480 = 245112621
BaseRepresentation
bin1000110011000110110000
311100011220012
420303012300
51042301410
6121234052
725414301
oct10630660
94304805
102306480
111335990
12932928
13629aa7
144407a8
15308605
hex2331b0

2306480 has 40 divisors (see below), whose sum is σ = 5852304. Its totient is φ = 838400.

The previous prime is 2306453. The next prime is 2306519. The reversal of 2306480 is 846032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431 + ... + 2190.

22306480 is an apocalyptic number.

2306480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2306480 is an abundant number, since it is smaller than the sum of its proper divisors (3545824).

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

2306480 is a wasteful number, since it uses less digits than its factorization.

2306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2306480 is about 1518.7099788966. The cubic root of 2306480 is about 132.1244617337.

The spelling of 2306480 in words is "two million, three hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2621 5242 10484 13105 20968 26210 28831 41936 52420 57662 104840 115324 144155 209680 230648 288310 461296 576620 1153240 2306480