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34381780 = 22523411823
BaseRepresentation
bin1000001100100…
…1111111010100
32101200202221021
42003021333110
532300204110
63224530524
7565145266
oct203117724
971622837
1034381780
11184535a4
12b620a44
13717a564
1447cdb36
1530422da
hex20c9fd4

34381780 has 48 divisors (see below), whose sum is σ = 77220864. Its totient is φ = 12826880.

The previous prime is 34381777. The next prime is 34381799. The reversal of 34381780 is 8718343.

34381780 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, 17949 + ... + 19771.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 234381780 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 34381780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

34381780 is an abundant number, since it is smaller than the sum of its proper divisors (42839084).

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

34381780 is a wasteful number, since it uses less digits than its factorization.

34381780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 34381780 is about 5863.5978716143. The cubic root of 34381780 is about 325.1692373015.

The spelling of 34381780 in words is "thirty-four million, three hundred eighty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1823 1886 3646 3772 4715 7292 9115 9430 18230 18860 36460 41929 74743 83858 149486 167716 209645 298972 373715 419290 747430 838580 1494860 1719089 3438178 6876356 8595445 17190890 34381780