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34089360 = 2435142039
BaseRepresentation
bin1000001000001…
…0100110010000
32101010220210220
42002002212100
532211324420
63214353040
7562516614
oct202024620
971126726
1034089360
1118273928
12b4bb780
1370a7426
144755344
152ed5840
hex2082990

34089360 has 40 divisors (see below), whose sum is σ = 105677760. Its totient is φ = 9090432.

The previous prime is 34089343. The next prime is 34089373. The reversal of 34089360 is 6398043.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 70780 + ... + 71259.

It is an arithmetic number, because the mean of its divisors is an integer number (2641944).

Almost surely, 234089360 is an apocalyptic number.

34089360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34089360 is an abundant number, since it is smaller than the sum of its proper divisors (71588400).

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

34089360 is a wasteful number, since it uses less digits than its factorization.

34089360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142055 (or 142049 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34089360 is about 5838.6094234843. The cubic root of 34089360 is about 324.2447472481.

The spelling of 34089360 in words is "thirty-four million, eighty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 142039 284078 426117 568156 710195 852234 1136312 1420390 1704468 2130585 2272624 2840780 3408936 4261170 5681560 6817872 8522340 11363120 17044680 34089360