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3073320 = 233258537
BaseRepresentation
bin1011101110010100101000
312210010210200
423232110220
51241321240
6145512200
735060055
oct13562450
95703720
103073320
11180a038
121042660
13837b43
145a002c
1540a930
hex2ee528

3073320 has 48 divisors (see below), whose sum is σ = 9989460. Its totient is φ = 819456.

The previous prime is 3073313. The next prime is 3073349. The reversal of 3073320 is 233703.

3073320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3006756 + 66564 = 1734^2 + 258^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3073293 and 3073302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3909 + ... + 4628.

Almost surely, 23073320 is an apocalyptic number.

3073320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3073320 is an abundant number, since it is smaller than the sum of its proper divisors (6916140).

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

3073320 is a wasteful number, since it uses less digits than its factorization.

3073320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 3073320 is about 1753.0887028328. The cubic root of 3073320 is about 145.3904656185.

The spelling of 3073320 in words is "three million, seventy-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8537 17074 25611 34148 42685 51222 68296 76833 85370 102444 128055 153666 170740 204888 256110 307332 341480 384165 512220 614664 768330 1024440 1536660 3073320