Search a number
-
+
3074280 = 23351117137
BaseRepresentation
bin1011101110100011101000
312210012010020
423232203220
51241334110
6145520440
735062626
oct13564350
95705106
103074280
11180a830
121043120
13838401
145a0516
1540ad70
hex2ee8e8

3074280 has 128 divisors (see below), whose sum is σ = 10730880. Its totient is φ = 696320.

The previous prime is 3074273. The next prime is 3074287. The reversal of 3074280 is 824703.

It is an interprime number because it is at equal distance from previous prime (3074273) and next prime (3074287).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3074280.

It is not an unprimeable number, because it can be changed into a prime (3074287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22372 + ... + 22508.

It is an arithmetic number, because the mean of its divisors is an integer number (83835).

Almost surely, 23074280 is an apocalyptic number.

3074280 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 3074280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365440).

3074280 is an abundant number, since it is smaller than the sum of its proper divisors (7656600).

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

3074280 is a wasteful number, since it uses less digits than its factorization.

3074280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3074280 is about 1753.3624839148. The cubic root of 3074280 is about 145.4056023780.

Adding to 3074280 its reverse (824703), we get a palindrome (3898983).

The spelling of 3074280 in words is "three million, seventy-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 137 165 170 187 204 220 255 264 274 330 340 374 408 411 440 510 548 561 660 680 685 748 822 935 1020 1096 1122 1320 1370 1496 1507 1644 1870 2040 2055 2244 2329 2740 2805 3014 3288 3740 4110 4488 4521 4658 5480 5610 6028 6987 7480 7535 8220 9042 9316 11220 11645 12056 13974 15070 16440 18084 18632 22440 22605 23290 25619 27948 30140 34935 36168 45210 46580 51238 55896 60280 69870 76857 90420 93160 102476 128095 139740 153714 180840 204952 256190 279480 307428 384285 512380 614856 768570 1024760 1537140 3074280