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30303430320 = 2435233354121
BaseRepresentation
bin11100001110001110…
…011010011010110000
32220012220020202112010
4130032032122122300
5444030134232240
621530551402520
72121642623232
oct341616323260
986186222463
1030303430320
1111940550799
125a58683440
132b1c1c4377
141676872252
15bc55b4280
hex70e39a6b0

30303430320 has 80 divisors (see below), whose sum is σ = 93982636512. Its totient is φ = 8077301760.

The previous prime is 30303430307. The next prime is 30303430321. The reversal of 30303430320 is 2303430303.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (30303430321) 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 15 ways as a sum of consecutive naturals, for example, 532860 + ... + 586980.

Almost surely, 230303430320 is an apocalyptic number.

30303430320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30303430320 is an abundant number, since it is smaller than the sum of its proper divisors (63679206192).

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

30303430320 is a wasteful number, since it uses less digits than its factorization.

30303430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56470 (or 56464 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 30303430320 its reverse (2303430303), we get a palindrome (32606860623).

The spelling of 30303430320 in words is "thirty billion, three hundred three million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2333 4666 6999 9332 11665 13998 18664 23330 27996 34995 37328 46660 54121 55992 69990 93320 108242 111984 139980 162363 186640 216484 270605 279960 324726 432968 541210 559920 649452 811815 865936 1082420 1298904 1623630 2164840 2597808 3247260 4329680 6494520 12989040 126264293 252528586 378792879 505057172 631321465 757585758 1010114344 1262642930 1515171516 1893964395 2020228688 2525285860 3030343032 3787928790 5050571720 6060686064 7575857580 10101143440 15151715160 30303430320