Search a number
-
+
3002472 = 23321117223
BaseRepresentation
bin1011011101000001101000
312122112121200
423131001220
51232034342
6144204200
734343364
oct13350150
95575550
103002472
111770890
121009660
13811815
145822a4
153e494c
hex2dd068

3002472 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 852480.

The previous prime is 3002459. The next prime is 3002473. The reversal of 3002472 is 2742003.

It is a happy number.

It is a super-2 number, since 2×30024722 = 18029676221568, which contains 22 as substring.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3002473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13353 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 23002472 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 3002472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3002472 is an abundant number, since it is smaller than the sum of its proper divisors (6432408).

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

3002472 is a wasteful number, since it uses less digits than its factorization.

3002472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3002472 is about 1732.7642655595. The cubic root of 3002472 is about 144.2645599433.

Adding to 3002472 its reverse (2742003), we get a palindrome (5744475).

It can be divided in two parts, 300 and 2472, that added together give a palindrome (2772).

The spelling of 3002472 in words is "three million, two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 223 264 306 374 396 408 446 561 612 669 748 792 892 1122 1224 1338 1496 1683 1784 2007 2244 2453 2676 3366 3791 4014 4488 4906 5352 6732 7359 7582 8028 9812 11373 13464 14718 15164 16056 19624 22077 22746 29436 30328 34119 41701 44154 45492 58872 68238 83402 88308 90984 125103 136476 166804 176616 250206 272952 333608 375309 500412 750618 1000824 1501236 3002472