[go: up one dir, main page]

Search a number
-
+
3043080 = 2332579107
BaseRepresentation
bin1011100110111100001000
312201121022200
423212330020
51234334310
6145120200
734602645
oct13467410
95647280
103043080
111799347
121029060
13827151
14592dcc
154019c0
hex2e6f08

3043080 has 96 divisors (see below), whose sum is σ = 10108800. Its totient is φ = 793728.

The previous prime is 3043069. The next prime is 3043081. The reversal of 3043080 is 803403.

3043080 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 not an unprimeable number, because it can be changed into a prime (3043081) 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, 28387 + ... + 28493.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

Almost surely, 23043080 is an apocalyptic number.

3043080 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 3043080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054400).

3043080 is an abundant number, since it is smaller than the sum of its proper divisors (7065720).

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

3043080 is a wasteful number, since it uses less digits than its factorization.

3043080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3043080 is about 1744.4426043869. The cubic root of 3043080 is about 144.9120354301.

Adding to 3043080 its reverse (803403), we get a palindrome (3846483).

The spelling of 3043080 in words is "three million, forty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 107 120 158 180 214 237 316 321 360 395 428 474 535 632 642 711 790 856 948 963 1070 1185 1284 1422 1580 1605 1896 1926 2140 2370 2568 2844 3160 3210 3555 3852 4280 4740 4815 5688 6420 7110 7704 8453 9480 9630 12840 14220 16906 19260 25359 28440 33812 38520 42265 50718 67624 76077 84530 101436 126795 152154 169060 202872 253590 304308 338120 380385 507180 608616 760770 1014360 1521540 3043080