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34930060 = 22511179887
BaseRepresentation
bin1000010100111…
…1110110001100
32102201122000221
42011033312030
532420230220
63244401124
7602620624
oct205176614
972648027
1034930060
1118798520
12b8461a4
13730cc99
1448d3884
1530ee9aa
hex214fd8c

34930060 has 48 divisors (see below), whose sum is σ = 80559360. Its totient is φ = 12616640.

The previous prime is 34930039. The next prime is 34930111. The reversal of 34930060 is 6003943.

34930060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38937 + ... + 39823.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 234930060 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 34930060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40279680).

34930060 is an abundant number, since it is smaller than the sum of its proper divisors (45629300).

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

34930060 is a wasteful number, since it uses less digits than its factorization.

34930060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 34930060 is about 5910.1658183168. The cubic root of 34930060 is about 326.8886015566. Note that the first 3 decimals are identical.

The spelling of 34930060 in words is "thirty-four million, nine hundred thirty thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 887 895 1774 1790 1969 3548 3580 3938 4435 7876 8870 9757 9845 17740 19514 19690 39028 39380 48785 97570 158773 195140 317546 635092 793865 1587730 1746503 3175460 3493006 6986012 8732515 17465030 34930060