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30109768 = 2313893253
BaseRepresentation
bin111001011011…
…1000001001000
32002122201211121
41302313001020
530202003033
62553205024
7513633403
oct162670110
962581747
1030109768
1115aa5a07
12a100774
136312c40
143ddad3a
15299b62d
hex1cb7048

30109768 has 32 divisors (see below), whose sum is σ = 61500600. Its totient is φ = 13736448.

The previous prime is 30109757. The next prime is 30109787. The reversal of 30109768 is 86790103.

It can be written as a sum of positive squares in 4 ways, for example, as 25623844 + 4485924 = 5062^2 + 2118^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7630 + ... + 10882.

Almost surely, 230109768 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 30109768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30750300).

30109768 is an abundant number, since it is smaller than the sum of its proper divisors (31390832).

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

30109768 is a wasteful number, since it uses less digits than its factorization.

30109768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 30109768 is about 5487.2368274023. The cubic root of 30109768 is about 311.1017612080.

The spelling of 30109768 in words is "thirty million, one hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 3253 4628 6506 9256 13012 26024 42289 84578 169156 289517 338312 579034 1158068 2316136 3763721 7527442 15054884 30109768