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3002304 = 26319823
BaseRepresentation
bin1011011100111111000000
312122112101110
423130333000
51232033204
6144203320
734343034
oct13347700
95575343
103002304
111770748
121009540
13811716
145821c4
153e4889
hex2dcfc0

3002304 has 56 divisors (see below), whose sum is σ = 8371840. Its totient is φ = 946944.

The previous prime is 3002281. The next prime is 3002327. The reversal of 3002304 is 4032003.

It is an interprime number because it is at equal distance from previous prime (3002281) and next prime (3002327).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 3002304.

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, 3237 + ... + 4059.

Almost surely, 23002304 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 3002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185920).

3002304 is an abundant number, since it is smaller than the sum of its proper divisors (5369536).

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

3002304 is a wasteful number, since it uses less digits than its factorization.

3002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3002304 is about 1732.7157874274. The cubic root of 3002304 is about 144.2618691718.

Adding to 3002304 its reverse (4032003), we get a palindrome (7034307).

The spelling of 3002304 in words is "three million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 823 912 1216 1646 1824 2469 3292 3648 4938 6584 9876 13168 15637 19752 26336 31274 39504 46911 52672 62548 79008 93822 125096 158016 187644 250192 375288 500384 750576 1000768 1501152 3002304