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34381890 = 2325382021
BaseRepresentation
bin1000001100101…
…0000001000010
32101200210002100
42003022001002
532300210030
63224531230
7565145514
oct203120102
971623070
1034381890
1118453694
12b620b16
13717a61a
1447cdbb4
153042360
hex20ca042

34381890 has 24 divisors (see below), whose sum is σ = 89393148. Its totient is φ = 9168480.

The previous prime is 34381889. The next prime is 34381909. The reversal of 34381890 is 9818343.

It can be written as a sum of positive squares in 2 ways, for example, as 34187409 + 194481 = 5847^2 + 441^2 .

It is a super-2 number, since 2×343818902 = 2364228719944200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 190921 + ... + 191100.

Almost surely, 234381890 is an apocalyptic number.

34381890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34381890 is an abundant number, since it is smaller than the sum of its proper divisors (55011258).

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

34381890 is a wasteful number, since it uses less digits than its factorization.

34381890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382034 (or 382031 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 34381890 is about 5863.6072515134. The cubic root of 34381890 is about 325.1695840799.

It can be divided in two parts, 34 and 381890, that added together give a square (381924 = 6182).

The spelling of 34381890 in words is "thirty-four million, three hundred eighty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 382021 764042 1146063 1910105 2292126 3438189 3820210 5730315 6876378 11460630 17190945 34381890