Search a number
-
+
3001331220 = 2235293746619
BaseRepresentation
bin1011001011100100…
…1010111000010100
321202011112102102120
42302321022320110
522121320044340
61213452535540
7134242615536
oct26271127024
97664472376
103001331220
11130019a628
126b91815b0
1338aa5c444
14206871856
151287584d0
hexb2e4ae14

3001331220 has 96 divisors (see below), whose sum is σ = 8928662400. Its totient is φ = 751855104.

The previous prime is 3001331173. The next prime is 3001331231. The reversal of 3001331220 is 221331003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3001331220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41071 + ... + 87689.

It is an arithmetic number, because the mean of its divisors is an integer number (93006900).

Almost surely, 23001331220 is an apocalyptic number.

3001331220 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 3001331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464331200).

3001331220 is an abundant number, since it is smaller than the sum of its proper divisors (5927331180).

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

3001331220 is a wasteful number, since it uses less digits than its factorization.

3001331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46697 (or 46695 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3001331220 is about 54784.4067230813. The cubic root of 3001331220 is about 1442.4628667026.

Adding to 3001331220 its reverse (221331003), we get a palindrome (3222662223).

The spelling of 3001331220 in words is "three billion, one million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 37 58 60 74 87 111 116 145 148 174 185 222 290 348 370 435 444 555 580 740 870 1073 1110 1740 2146 2220 3219 4292 5365 6438 10730 12876 16095 21460 32190 46619 64380 93238 139857 186476 233095 279714 466190 559428 699285 932380 1351951 1398570 1724903 2703902 2797140 3449806 4055853 5174709 5407804 6759755 6899612 8111706 8624515 10349418 13519510 16223412 17249030 20279265 20698836 25873545 27039020 34498060 40558530 50022187 51747090 81117060 100044374 103494180 150066561 200088748 250110935 300133122 500221870 600266244 750332805 1000443740 1500665610 3001331220