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3030240200 = 2352135212237
BaseRepresentation
bin1011010010011101…
…1100101111001000
321211011221011002112
42310213130233020
522201220141300
61220404321452
7135043421351
oct26447345710
97734834075
103030240200
111315545349
127069a3288
13393a41950
1420a638d28
1512b068e35
hexb49dcbc8

3030240200 has 96 divisors (see below), whose sum is σ = 7605216360. Its totient is φ = 1116211200.

The previous prime is 3030240167. The next prime is 3030240203. The reversal of 3030240200 is 20420303.

It can be written as a sum of positive squares in 12 ways, for example, as 32239684 + 2998000516 = 5678^2 + 54754^2 .

It is not an unprimeable number, because it can be changed into a prime (3030240203) 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 23 ways as a sum of consecutive naturals, for example, 1353482 + ... + 1355718.

Almost surely, 23030240200 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 3030240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802608180).

3030240200 is an abundant number, since it is smaller than the sum of its proper divisors (4574976160).

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

3030240200 is a wasteful number, since it uses less digits than its factorization.

3030240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3030240200 is about 55047.6175687922. The cubic root of 3030240200 is about 1447.0793688526.

Adding to 3030240200 its reverse (20420303), we get a palindrome (3050660503).

The spelling of 3030240200 in words is "three billion, thirty million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 521 650 1042 1300 2084 2237 2600 2605 4168 4474 5210 6773 8948 10420 11185 13025 13546 17896 20840 22370 26050 27092 29081 33865 44740 52100 54184 55925 58162 67730 89480 104200 111850 116324 135460 145405 169325 223700 232648 270920 290810 338650 447400 581620 677300 727025 1163240 1165477 1354600 1454050 2330954 2908100 4661908 5816200 5827385 9323816 11654770 15151201 23309540 29136925 30302402 46619080 58273850 60604804 75756005 116547700 121209608 151512010 233095400 303024020 378780025 606048040 757560050 1515120100 3030240200