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3004320 = 253511569
BaseRepresentation
bin1011011101011110100000
312122122011010
423131132200
51232114240
6144220520
734351644
oct13353640
95578133
103004320
111772210
12100a740
13812607
14582c24
153e5280
hex2dd7a0

3004320 has 96 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 727040.

The previous prime is 3004319. The next prime is 3004321. The reversal of 3004320 is 234003.

It is an interprime number because it is at equal distance from previous prime (3004319) and next prime (3004321).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 3004296 and 3004305.

It is not an unprimeable number, because it can be changed into a prime (3004321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4996 + ... + 5564.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 23004320 is an apocalyptic number.

3004320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3004320 is an abundant number, since it is smaller than the sum of its proper divisors (7337760).

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

3004320 is a wasteful number, since it uses less digits than its factorization.

3004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

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

The square root of 3004320 is about 1733.2974355257. The cubic root of 3004320 is about 144.2941518072.

Adding to 3004320 its reverse (234003), we get a palindrome (3238323).

The spelling of 3004320 in words is "three million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 569 660 880 1056 1138 1320 1707 1760 2276 2640 2845 3414 4552 5280 5690 6259 6828 8535 9104 11380 12518 13656 17070 18208 18777 22760 25036 27312 31295 34140 37554 45520 50072 54624 62590 68280 75108 91040 93885 100144 125180 136560 150216 187770 200288 250360 273120 300432 375540 500720 600864 751080 1001440 1502160 3004320