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3074580 = 22325192931
BaseRepresentation
bin1011101110101000010100
312210012112100
423232220110
51241341310
6145522100
735063535
oct13565024
95705470
103074580
11180aa83
121043330
138385a2
145a068c
1540aec0
hex2eea14

3074580 has 144 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 725760.

The previous prime is 3074567. The next prime is 3074581. The reversal of 3074580 is 854703.

3074580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074581) 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 47 ways as a sum of consecutive naturals, for example, 99165 + ... + 99195.

It is an arithmetic number, because the mean of its divisors is an integer number (72800).

Almost surely, 23074580 is an apocalyptic number.

3074580 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 3074580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

3074580 is an abundant number, since it is smaller than the sum of its proper divisors (7408620).

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

3074580 is a wasteful number, since it uses less digits than its factorization.

3074580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3074580 is about 1753.4480317363. The cubic root of 3074580 is about 145.4103319691.

The spelling of 3074580 in words is "three million, seventy-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 31 36 38 45 57 58 60 62 76 87 90 93 95 114 116 124 145 155 171 174 180 186 190 228 261 279 285 290 310 342 348 372 380 435 465 522 551 558 570 580 589 620 684 855 870 899 930 1044 1102 1116 1140 1178 1305 1395 1653 1710 1740 1767 1798 1860 2204 2356 2610 2697 2755 2790 2945 3306 3420 3534 3596 4495 4959 5220 5301 5394 5510 5580 5890 6612 7068 8091 8265 8835 8990 9918 10602 10788 11020 11780 13485 16182 16530 17081 17670 17980 19836 21204 24795 26505 26970 32364 33060 34162 35340 40455 49590 51243 53010 53940 68324 80910 85405 99180 102486 106020 153729 161820 170810 204972 256215 307458 341620 512430 614916 768645 1024860 1537290 3074580