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3000024132 = 2237293139727
BaseRepresentation
bin1011001011010000…
…1011110001000100
321202002002000102220
42302310023301010
522121001233012
61213404532340
7134225533020
oct26264136104
97662060386
103000024132
1112aa487596
126b88510b0
1338a6c2511
14206611380
1512859b08c
hexb2d0bc44

3000024132 has 96 divisors (see below), whose sum is σ = 8543109120. Its totient is φ = 800876160.

The previous prime is 3000023993. The next prime is 3000024143. The reversal of 3000024132 is 2314200003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55653 + ... + 95379.

It is an arithmetic number, because the mean of its divisors is an integer number (88990720).

Almost surely, 23000024132 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 3000024132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271554560).

3000024132 is an abundant number, since it is smaller than the sum of its proper divisors (5543084988).

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

3000024132 is a wasteful number, since it uses less digits than its factorization.

3000024132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39801 (or 39799 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3000024132 is about 54772.4760440862. The cubic root of 3000024132 is about 1442.2534374489.

Adding to 3000024132 its reverse (2314200003), we get a palindrome (5314224135).

The spelling of 3000024132 in words is "three billion, twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 31 42 58 62 84 87 93 116 124 174 186 203 217 348 372 406 434 609 651 812 868 899 1218 1302 1798 2436 2604 2697 3596 5394 6293 10788 12586 18879 25172 37758 39727 75516 79454 119181 158908 238362 278089 476724 556178 834267 1112356 1152083 1231537 1668534 2304166 2463074 3337068 3456249 3694611 4608332 4926148 6912498 7389222 8064581 8620759 13824996 14778444 16129162 17241518 24193743 25862277 32258324 34483036 35714573 48387486 51724554 71429146 96774972 103449108 107143719 142858292 214287438 250002011 428574876 500004022 750006033 1000008044 1500012066 3000024132