Search a number
-
+
3040599072 = 25374524701
BaseRepresentation
bin1011010100111011…
…1101110000100000
321211220102102210110
42311032331300200
522211343132242
61221414331320
7135230444220
oct26516756040
97756372713
103040599072
1113203800a5
1270a359b40
13395c2a964
1420bb74080
1512be1339c
hexb53bdc20

3040599072 has 48 divisors (see below), whose sum is σ = 9121799232. Its totient is φ = 868742400.

The previous prime is 3040599053. The next prime is 3040599077. The reversal of 3040599072 is 2709950403.

3040599072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×30405990723 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3040599072.

It is not an unprimeable number, because it can be changed into a prime (3040599077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2261679 + ... + 2263022.

It is an arithmetic number, because the mean of its divisors is an integer number (190037484).

Almost surely, 23040599072 is an apocalyptic number.

3040599072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3040599072 is an abundant number, since it is smaller than the sum of its proper divisors (6081200160).

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

3040599072 is a wasteful number, since it uses less digits than its factorization.

3040599072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524721 (or 4524713 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 3040599072 is about 55141.6273970945. The cubic root of 3040599072 is about 1448.7264397238.

The spelling of 3040599072 in words is "three billion, forty million, five hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4524701 9049402 13574103 18098804 27148206 31672907 36197608 54296412 63345814 72395216 95018721 108592824 126691628 144790432 190037442 217185648 253383256 380074884 434371296 506766512 760149768 1013533024 1520299536 3040599072