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3000342520 = 235726192473
BaseRepresentation
bin1011001011010101…
…1001011111111000
321202002200012012001
42302311121133320
522121041430040
61213415430344
7134231330200
oct26265313770
97662605161
103000342520
1112aa68481a
126b89853b4
1338a7a4406
14206695400
1512861059a
hexb2d597f8

3000342520 has 96 divisors (see below), whose sum is σ = 7868804400. Its totient is φ = 1026611712.

The previous prime is 3000342487. The next prime is 3000342539. The reversal of 3000342520 is 252430003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212004 + ... + 1214476.

Almost surely, 23000342520 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 3000342520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934402200).

3000342520 is an abundant number, since it is smaller than the sum of its proper divisors (4868461880).

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

3000342520 is a wasteful number, since it uses less digits than its factorization.

3000342520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 3000342520 is about 54775.3824267800. The cubic root of 3000342520 is about 1442.3044570322.

Adding to 3000342520 its reverse (252430003), we get a palindrome (3252772523).

The spelling of 3000342520 in words is "three billion, three hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 619 980 1238 1960 2473 2476 3095 4333 4946 4952 6190 8666 9892 12365 12380 17311 17332 19784 21665 24730 24760 30331 34622 34664 43330 49460 60662 69244 86555 86660 98920 121177 121324 138488 151655 173110 173320 242354 242648 303310 346220 484708 605885 606620 692440 969416 1211770 1213240 1530787 2423540 3061574 4847080 6123148 7653935 10715509 12246296 15307870 21431018 30615740 42862036 53577545 61231480 75008563 85724072 107155090 150017126 214310180 300034252 375042815 428620360 600068504 750085630 1500171260 3000342520