Search a number
-
+
3030331332 = 223759617991
BaseRepresentation
bin1011010010011111…
…0010111111000100
321211012002210002210
42310213302333010
522201231100312
61220410303420
7135044251140
oct26447627704
97735083083
103030331332
1113155a7866
12706a27b70
13393a74282
1420a660220
1512b085e3c
hexb49f2fc4

3030331332 has 96 divisors (see below), whose sum is σ = 8239472640. Its totient is φ = 848897280.

The previous prime is 3030331331. The next prime is 3030331357. The reversal of 3030331332 is 2331330303.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3030331299 and 3030331308.

It is not an unprimeable number, because it can be changed into a prime (3030331331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3057357 + ... + 3058347.

It is an arithmetic number, because the mean of its divisors is an integer number (85827840).

Almost surely, 23030331332 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 3030331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119736320).

3030331332 is an abundant number, since it is smaller than the sum of its proper divisors (5209141308).

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

3030331332 is a wasteful number, since it uses less digits than its factorization.

3030331332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

The square root of 3030331332 is about 55048.4453186464. The cubic root of 3030331332 is about 1447.0938752840.

Adding to 3030331332 its reverse (2331330303), we get a palindrome (5361661635).

The spelling of 3030331332 in words is "three billion, thirty million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 617 708 826 991 1234 1239 1652 1851 1982 2468 2478 2973 3702 3964 4319 4956 5946 6937 7404 8638 11892 12957 13874 17276 20811 25914 27748 36403 41622 51828 58469 72806 83244 109209 116938 145612 175407 218418 233876 254821 350814 409283 436836 509642 611447 701628 764463 818566 1019284 1222894 1227849 1528926 1637132 1834341 2445788 2455698 3057852 3668682 4280129 4911396 7337364 8560258 12840387 17120516 25680774 36075373 51361548 72150746 108226119 144301492 216452238 252527611 432904476 505055222 757582833 1010110444 1515165666 3030331332