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30352025304 = 233219156714159
BaseRepresentation
bin11100010001000111…
…110010011011011000
32220100021200122022100
4130101013302123120
5444130104302204
621535445123400
72123102646456
oct342107623330
986307618270
1030352025304
1111965a21937
125a709b9560
132b292aa0b3
14167d0c19d6
15bc99b2a39
hex7111f26d8

30352025304 has 96 divisors (see below), whose sum is σ = 86591232000. Its totient is φ = 9578056896.

The previous prime is 30352025303. The next prime is 30352025317. The reversal of 30352025304 is 40352025303.

30352025304 is a `hidden beast` number, since 3 + 0 + 352 + 0 + 2 + 5 + 304 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30352025303) 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, 2136577 + ... + 2150735.

It is an arithmetic number, because the mean of its divisors is an integer number (901992000).

Almost surely, 230352025304 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 30352025304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43295616000).

30352025304 is an abundant number, since it is smaller than the sum of its proper divisors (56239206696).

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

30352025304 is a wasteful number, since it uses less digits than its factorization.

30352025304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15757 (or 15750 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Subtracting 30352025304 from its reverse (40352025303), we obtain a palindrome (9999999999).

The spelling of 30352025304 in words is "thirty billion, three hundred fifty-two million, twenty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1567 3134 4701 6268 9402 12536 14103 14159 18804 28206 28318 29773 37608 42477 56412 56636 59546 84954 89319 112824 113272 119092 127431 169908 178638 238184 254862 267957 269021 339816 357276 509724 535914 538042 714552 807063 1019448 1071828 1076084 1614126 2143656 2152168 2421189 3228252 4842378 6456504 9684756 19369512 22187153 44374306 66561459 88748612 133122918 177497224 199684377 266245836 399368754 421555907 532491672 798737508 843111814 1264667721 1597475016 1686223628 2529335442 3372447256 3794003163 5058670884 7588006326 10117341768 15176012652 30352025304