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3040919028 = 22327210716111
BaseRepresentation
bin1011010101000000…
…1011110111110100
321211221000200200200
42311100023313310
522211433402103
61221425240500
7135233246100
oct26520136764
97757020620
103040919028
111320579524
1270a493130
13396010494
1420bc18900
1512be780a3
hexb540bdf4

3040919028 has 108 divisors (see below), whose sum is σ = 9025877952. Its totient is φ = 860660640.

The previous prime is 3040919023. The next prime is 3040919039. The reversal of 3040919028 is 8209190403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3040918983 and 3040919001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040919023) 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, 180693 + ... + 196803.

It is an arithmetic number, because the mean of its divisors is an integer number (83572944).

Almost surely, 23040919028 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 3040919028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512938976).

3040919028 is an abundant number, since it is smaller than the sum of its proper divisors (5984958924).

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

3040919028 is a wasteful number, since it uses less digits than its factorization.

3040919028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16242 (or 16230 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3040919028 is about 55144.5285409169. The cubic root of 3040919028 is about 1448.7772534448. Note that the first 3 decimals are identical.

The spelling of 3040919028 in words is "three billion, forty million, nine hundred nineteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 107 126 147 196 214 252 294 321 428 441 588 642 749 882 963 1284 1498 1764 1926 2247 2996 3852 4494 5243 6741 8988 10486 13482 15729 16111 20972 26964 31458 32222 47187 48333 62916 64444 94374 96666 112777 144999 188748 193332 225554 289998 338331 451108 579996 676662 789439 1014993 1353324 1578878 1723877 2029986 2368317 3157756 3447754 4059972 4736634 5171631 6895508 7104951 9473268 10343262 12067139 14209902 15514893 20686524 24134278 28419804 31029786 36201417 48268556 62059572 72402834 84469973 108604251 144805668 168939946 217208502 253409919 337879892 434417004 506819838 760229757 1013639676 1520459514 3040919028