Search a number
-
+
3001444060 = 2251953712099
BaseRepresentation
bin1011001011100110…
…0110011011011100
321202011202011012211
42302321212123130
522121332202220
61213455210204
7134243565526
oct26271463334
97664664184
103001444060
11130026738a
126b9216964
1338aa9b904
142068a0a16
1512877bb5a
hexb2e666dc

3001444060 has 96 divisors (see below), whose sum is σ = 6858432000. Its totient is φ = 1099687680.

The previous prime is 3001444051. The next prime is 3001444081. The reversal of 3001444060 is 604441003.

It is a happy number.

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, 1428891 + ... + 1430989.

It is an arithmetic number, because the mean of its divisors is an integer number (71442000).

Almost surely, 23001444060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001444060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429216000).

3001444060 is an abundant number, since it is smaller than the sum of its proper divisors (3856987940).

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

3001444060 is a wasteful number, since it uses less digits than its factorization.

3001444060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3001444060 is about 54785.4365684896. The cubic root of 3001444060 is about 1442.4809437333.

Adding to 3001444060 its reverse (604441003), we get a palindrome (3605885063).

The spelling of 3001444060 in words is "three billion, one million, four hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 53 71 76 95 106 142 190 212 265 284 355 380 530 710 1007 1060 1349 1420 2014 2099 2698 3763 4028 4198 5035 5396 6745 7526 8396 10070 10495 13490 15052 18815 20140 20990 26980 37630 39881 41980 71497 75260 79762 111247 142994 149029 159524 199405 222494 285988 298058 357485 398810 444988 556235 596116 714970 745145 797620 1112470 1429940 1490290 2113693 2224940 2831551 2980580 4227386 5663102 7898537 8454772 10568465 11326204 14157755 15797074 21136930 28315510 31594148 39492685 42273860 56631020 78985370 150072203 157970740 300144406 600288812 750361015 1500722030 3001444060