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30680064 = 210323329
BaseRepresentation
bin111010100001…
…0010000000000
32010201201010200
41311002100000
530323230224
63013325200
7521530152
oct165022000
963651120
1030680064
1116355428
12a336800
1364826ac
144108ad2
152a605c9
hex1d42400

30680064 has 66 divisors (see below), whose sum is σ = 88614630. Its totient is φ = 10223616.

The previous prime is 30680047. The next prime is 30680077. The reversal of 30680064 is 46008603.

It can be written as a sum of positive squares in only one way, i.e., 24920064 + 5760000 = 4992^2 + 2400^2 .

It is a super-3 number, since 3×306800643 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7552 + ... + 10880.

Almost surely, 230680064 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 30680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44307315).

30680064 is an abundant number, since it is smaller than the sum of its proper divisors (57934566).

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

30680064 is a wasteful number, since it uses less digits than its factorization.

30680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30680064 is about 5538.9587469126. The cubic root of 30680064 is about 313.0536370294.

Adding to 30680064 its reverse (46008603), we get a palindrome (76688667).

The spelling of 30680064 in words is "thirty million, six hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 3329 4608 6658 9216 9987 13316 19974 26632 29961 39948 53264 59922 79896 106528 119844 159792 213056 239688 319584 426112 479376 639168 852224 958752 1278336 1704448 1917504 2556672 3408896 3835008 5113344 7670016 10226688 15340032 30680064