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3057280 = 27517281
BaseRepresentation
bin1011101010011010000000
312202022210121
423222122000
51240313110
6145310024
734662232
oct13523200
95668717
103057280
1117a8a86
121035314
13830755
14598252
15405cda
hex2ea680

3057280 has 64 divisors (see below), whose sum is σ = 7766280. Its totient is φ = 1146880.

The previous prime is 3057253. The next prime is 3057281. The reversal of 3057280 is 827503.

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 153664 = 1704^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3057281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10740 + ... + 11020.

Almost surely, 23057280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883140).

3057280 is an abundant number, since it is smaller than the sum of its proper divisors (4709000).

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

3057280 is a wasteful number, since it uses less digits than its factorization.

3057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 3057280 is about 1748.5079353552. The cubic root of 3057280 is about 145.1370879496.

The spelling of 3057280 in words is "three million, fifty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 281 320 340 544 562 640 680 1088 1124 1360 1405 2176 2248 2720 2810 4496 4777 5440 5620 8992 9554 10880 11240 17984 19108 22480 23885 35968 38216 44960 47770 76432 89920 95540 152864 179840 191080 305728 382160 611456 764320 1528640 3057280