Search a number
-
+
3040115292 = 22321922231049
BaseRepresentation
bin1011010100110100…
…0111101001011100
321211212111212011200
42311031013221130
522211232142132
61221400115500
7135223360614
oct26515075134
97755455150
103040115292
11132007a685
1270a165b90
13395abb6b6
1420ba89a44
1512bd69d7c
hexb5347a5c

3040115292 has 108 divisors (see below), whose sum is σ = 8154619200. Its totient is φ = 954820224.

The previous prime is 3040115279. The next prime is 3040115293. The reversal of 3040115292 is 2925110403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040115293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2897584 + ... + 2898632.

Almost surely, 23040115292 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 3040115292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077309600).

3040115292 is an abundant number, since it is smaller than the sum of its proper divisors (5114503908).

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

3040115292 is a wasteful number, since it uses less digits than its factorization.

3040115292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3040115292 is about 55137.2405185461. The cubic root of 3040115292 is about 1448.6496015707.

Adding to 3040115292 its reverse (2925110403), we get a palindrome (5965225695).

The spelling of 3040115292 in words is "three billion, forty million, one hundred fifteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 223 228 342 361 446 669 684 722 892 1049 1083 1338 1444 2007 2098 2166 2676 3147 3249 4014 4196 4237 4332 6294 6498 8028 8474 9441 12588 12711 12996 16948 18882 19931 25422 37764 38133 39862 50844 59793 76266 79724 80503 119586 152532 161006 179379 233927 239172 241509 322012 358758 378689 467854 483018 701781 717516 724527 757378 935708 966036 1136067 1403562 1449054 1514756 2105343 2272134 2807124 2898108 3408201 4210686 4444613 4544268 6816402 8421372 8889226 13333839 13632804 17778452 26667678 40001517 53335356 80003034 84447647 160006068 168895294 253342941 337790588 506685882 760028823 1013371764 1520057646 3040115292