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34119090 = 23351071181
BaseRepresentation
bin1000001000100…
…1110110110010
32101012102121000
42002021312302
532213302330
63215142430
7563002365
oct202116662
971172530
1034119090
11182941a5
12b514a16
1370b7b15
1447620dc
152ede560
hex2089db2

34119090 has 64 divisors (see below), whose sum is σ = 91912320. Its totient is φ = 9005760.

The previous prime is 34119077. The next prime is 34119131. The reversal of 34119090 is 9091143.

It is a super-2 number, since 2×341190902 = 2328224604856200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 28300 + ... + 29480.

It is an arithmetic number, because the mean of its divisors is an integer number (1436130).

Almost surely, 234119090 is an apocalyptic number.

34119090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34119090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45956160).

34119090 is an abundant number, since it is smaller than the sum of its proper divisors (57793230).

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

34119090 is a wasteful number, since it uses less digits than its factorization.

34119090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 34119090 is about 5841.1548515683. The cubic root of 34119090 is about 324.3389799289.

The spelling of 34119090 in words is "thirty-four million, one hundred nineteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 321 535 642 963 1070 1181 1605 1926 2362 2889 3210 3543 4815 5778 5905 7086 9630 10629 11810 14445 17715 21258 28890 31887 35430 53145 63774 106290 126367 159435 252734 318870 379101 631835 758202 1137303 1263670 1895505 2274606 3411909 3791010 5686515 6823818 11373030 17059545 34119090