Search a number
-
+
3057300 = 2232524379
BaseRepresentation
bin1011101010011010010100
312202022211100
423222122110
51240313200
6145310100
734662261
oct13523224
95668740
103057300
1117a8aa4
121035330
1383076c
14598268
15405d00
hex2ea694

3057300 has 108 divisors (see below), whose sum is σ = 9929920. Its totient is φ = 786240.

The previous prime is 3057293. The next prime is 3057317. The reversal of 3057300 is 37503.

3057300 is digitally balanced in base 2, because in such base 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 (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 38661 + ... + 38739.

Almost surely, 23057300 is an apocalyptic number.

3057300 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 3057300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964960).

3057300 is an abundant number, since it is smaller than the sum of its proper divisors (6872620).

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

3057300 is a wasteful number, since it uses less digits than its factorization.

3057300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 3057300 is about 1748.5136545077. The cubic root of 3057300 is about 145.1374044331.

The spelling of 3057300 in words is "three million, fifty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 79 86 90 100 129 150 158 172 180 215 225 237 258 300 316 387 395 430 450 474 516 645 711 774 790 860 900 948 1075 1185 1290 1422 1548 1580 1935 1975 2150 2370 2580 2844 3225 3397 3555 3870 3950 4300 4740 5925 6450 6794 7110 7740 7900 9675 10191 11850 12900 13588 14220 16985 17775 19350 20382 23700 30573 33970 35550 38700 40764 50955 61146 67940 71100 84925 101910 122292 152865 169850 203820 254775 305730 339700 509550 611460 764325 1019100 1528650 3057300