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3020472 = 2332713461
BaseRepresentation
bin1011100001011010111000
312200110022100
423201122320
51233123342
6144423400
734450020
oct13413270
95613270
103020472
111783364
121017b60
13819a80
14588a80
153e9e4c
hex2e16b8

3020472 has 96 divisors (see below), whose sum is σ = 10090080. Its totient is φ = 794880.

The previous prime is 3020471. The next prime is 3020491. The reversal of 3020472 is 2740203.

It is a happy number.

3020472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30204722 = 18246502205568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6322 + ... + 6782.

It is an arithmetic number, because the mean of its divisors is an integer number (105105).

Almost surely, 23020472 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 3020472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045040).

3020472 is an abundant number, since it is smaller than the sum of its proper divisors (7069608).

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

3020472 is a wasteful number, since it uses less digits than its factorization.

3020472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

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

The square root of 3020472 is about 1737.9505171322. The cubic root of 3020472 is about 144.5522773137.

Adding to 3020472 its reverse (2740203), we get a palindrome (5760675).

It can be divided in two parts, 30204 and 72, that added together give a square (30276 = 1742).

The spelling of 3020472 in words is "three million, twenty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 461 468 504 546 728 819 922 936 1092 1383 1638 1844 2184 2766 3227 3276 3688 4149 5532 5993 6454 6552 8298 9681 11064 11986 12908 16596 17979 19362 23972 25816 29043 33192 35958 38724 41951 47944 53937 58086 71916 77448 83902 107874 116172 125853 143832 167804 215748 232344 251706 335608 377559 431496 503412 755118 1006824 1510236 3020472