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30345045024 = 2537377011741
BaseRepresentation
bin11100010000101101…
…001010010000100000
32220022210120000011110
4130100231022100200
5444121312420044
621535035343320
72122656425010
oct342055122040
986283500143
1030345045024
1111961a94508
125a6a5b1b40
132b27a04b58
14167c1c5c40
15bc90846b9
hex710b4a420

30345045024 has 192 divisors, whose sum is σ = 93682697472. Its totient is φ = 8418816000.

The previous prime is 30345044993. The next prime is 30345045037. The reversal of 30345045024 is 42054054303.

It is a junction number, because it is equal to n+sod(n) for n = 30345044982 and 30345045000.

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, 17428794 + ... + 17430534.

It is an arithmetic number, because the mean of its divisors is an integer number (487930716).

Almost surely, 230345045024 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 30345045024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46841348736).

30345045024 is an abundant number, since it is smaller than the sum of its proper divisors (63337652448).

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

30345045024 is a wasteful number, since it uses less digits than its factorization.

30345045024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 30345045024 its reverse (42054054303), we get a palindrome (72399099327).

The spelling of 30345045024 in words is "thirty billion, three hundred forty-five million, forty-five thousand, twenty-four".