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34930048 = 27674073
BaseRepresentation
bin1000010100111…
…1110110000000
32102201122000111
42011033312000
532420230143
63244401104
7602620606
oct205176600
972648014
1034930048
111879850a
12b846194
13730cc8a
1448d3876
1530ee99d
hex214fd80

34930048 has 32 divisors (see below), whose sum is σ = 70643160. Its totient is φ = 17200128.

The previous prime is 34930039. The next prime is 34930111. The reversal of 34930048 is 84003943.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6540 + ... + 10612.

Almost surely, 234930048 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 34930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35321580).

34930048 is an abundant number, since it is smaller than the sum of its proper divisors (35713112).

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

34930048 is an equidigital number, since it uses as much as digits as its factorization.

34930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 34930048 is about 5910.1648031167. The cubic root of 34930048 is about 326.8885641231. Note that the first 3 decimals are identical.

The spelling of 34930048 in words is "thirty-four million, nine hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4073 4288 8146 8576 16292 32584 65168 130336 260672 272891 521344 545782 1091564 2183128 4366256 8732512 17465024 34930048