Search a number
-
+
3057320 = 235761179
BaseRepresentation
bin1011101010011010101000
312202022212002
423222122220
51240313240
6145310132
734662320
oct13523250
95668762
103057320
1117a9012
121035348
13830786
14598280
15405d15
hex2ea6a8

3057320 has 64 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 1025280.

The previous prime is 3057319. The next prime is 3057323. The reversal of 3057320 is 237503.

3057320 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3057292 and 3057301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3057323) 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 15 ways as a sum of consecutive naturals, for example, 16991 + ... + 17169.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

Almost surely, 23057320 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 3057320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

3057320 is an abundant number, since it is smaller than the sum of its proper divisors (4977880).

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

3057320 is a wasteful number, since it uses less digits than its factorization.

3057320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 3057320 is about 1748.5193736416. The cubic root of 3057320 is about 145.1377209151.

The spelling of 3057320 in words is "three million, fifty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 179 244 280 305 358 427 488 610 716 854 895 1220 1253 1432 1708 1790 2135 2440 2506 3416 3580 4270 5012 6265 7160 8540 10024 10919 12530 17080 21838 25060 43676 50120 54595 76433 87352 109190 152866 218380 305732 382165 436760 611464 764330 1528660 3057320