Search a number
-
+
3036031530 = 2357171794751
BaseRepresentation
bin1011010011110110…
…0010101000101010
321211120211101022020
42310331202220222
522204211002110
61221132405310
7135143561610
oct26475425052
97746741266
103036031530
111318840474
12708916836
13394cbb97c
1420b3056b0
1512b80ed70
hexb4f62a2a

3036031530 has 128 divisors (see below), whose sum is σ = 8868372480. Its totient is φ = 649344000.

The previous prime is 3036031507. The next prime is 3036031567. The reversal of 3036031530 is 351306303.

3036031530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3036031530.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636655 + ... + 641405.

It is an arithmetic number, because the mean of its divisors is an integer number (69284160).

Almost surely, 23036031530 is an apocalyptic number.

3036031530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3036031530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434186240).

3036031530 is an abundant number, since it is smaller than the sum of its proper divisors (5832340950).

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

3036031530 is a wasteful number, since it uses less digits than its factorization.

3036031530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964.

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 3036031530 is about 55100.1953717044. The cubic root of 3036031530 is about 1448.0006578576. Note that the first 3 decimals are identical.

Adding to 3036031530 its reverse (351306303), we get a palindrome (3387337833).

The spelling of 3036031530 in words is "three billion, thirty-six million, thirty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 179 210 238 255 357 358 510 537 595 714 895 1074 1190 1253 1785 1790 2506 2685 3043 3570 3759 4751 5370 6086 6265 7518 9129 9502 12530 14253 15215 18258 18795 21301 23755 28506 30430 33257 37590 42602 45645 47510 63903 66514 71265 80767 91290 99771 106505 127806 142530 161534 166285 199542 213010 242301 319515 332570 403835 484602 498855 565369 639030 807670 850429 997710 1130738 1211505 1696107 1700858 2423010 2551287 2826845 3392214 4252145 5102574 5653690 5953003 8480535 8504290 11906006 12756435 14457293 16961070 17859009 25512870 28914586 29765015 35718018 43371879 59530030 72286465 86743758 89295045 101201051 144572930 178590090 202402102 216859395 303603153 433718790 506005255 607206306 1012010510 1518015765 3036031530