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3086304 = 253132473
BaseRepresentation
bin1011110001011111100000
312210210121120
423301133200
51242230204
6150052240
735142654
oct13613740
95723546
103086304
111818871
12104a080
13840a20
145a4a64
1540e6d9
hex2f17e0

3086304 has 48 divisors (see below), whose sum is σ = 8728272. Its totient is φ = 949248.

The previous prime is 3086287. The next prime is 3086309. The reversal of 3086304 is 4036803.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086309) 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, 12 + ... + 2484.

It is an arithmetic number, because the mean of its divisors is an integer number (181839).

Almost surely, 23086304 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 3086304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364136).

3086304 is an abundant number, since it is smaller than the sum of its proper divisors (5641968).

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

3086304 is a wasteful number, since it uses less digits than its factorization.

3086304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3086304 is about 1756.7879781009. The cubic root of 3086304 is about 145.5949239465.

The spelling of 3086304 in words is "three million, eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2473 4946 7419 9892 14838 19784 29676 32149 39568 59352 64298 79136 96447 118704 128596 192894 237408 257192 385788 514384 771576 1028768 1543152 3086304