Search a number
-
+
3030407352 = 2332721750527
BaseRepresentation
bin1011010010100000…
…0101100010111000
321211012020122101100
42310220011202320
522201241013402
61220412051400
7135045015600
oct26450054270
97735218340
103030407352
111315649995
12706a63b60
13393a9ca5b
1420a67dc00
1512b09d71c
hexb4a058b8

3030407352 has 144 divisors (see below), whose sum is σ = 10109136960. Its totient is φ = 814883328.

The previous prime is 3030407351. The next prime is 3030407353. The reversal of 3030407352 is 2537040303.

3030407352 is a `hidden beast` number, since 3 + 0 + 304 + 0 + 7 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (3030407351) and next prime (3030407353).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3030407351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34713 + ... + 85239.

It is an arithmetic number, because the mean of its divisors is an integer number (70202340).

Almost surely, 23030407352 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 3030407352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054568480).

3030407352 is an abundant number, since it is smaller than the sum of its proper divisors (7078729608).

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

3030407352 is a wasteful number, since it uses less digits than its factorization.

3030407352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50570 (or 50556 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 3030407352 is about 55049.1357970314. The cubic root of 3030407352 is about 1447.1059759582.

Adding to 3030407352 its reverse (2537040303), we get a palindrome (5567447655).

The spelling of 3030407352 in words is "three billion, thirty million, four hundred seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2499 2856 3332 3528 4284 4998 6664 7497 8568 9996 14994 19992 29988 50527 59976 101054 151581 202108 303162 353689 404216 454743 606324 707378 858959 909486 1061067 1212648 1414756 1717918 1818972 2122134 2475823 2576877 2829512 3183201 3435836 3637944 4244268 4951646 5153754 6012713 6366402 6871672 7427469 7730631 8488536 9903292 10307508 12025426 12732804 14854938 15461262 18038139 19806584 20615016 22282407 24050852 25465608 29709876 30922524 36076278 42088991 44564814 48101704 54114417 59419752 61845048 72152556 84177982 89129628 108228834 126266973 144305112 168355964 178259256 216457668 252533946 336711928 378800919 432915336 505067892 757601838 1010135784 1515203676 3030407352