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34093320 = 2335284111
BaseRepresentation
bin1000001000001…
…1100100001000
32101011010020120
42002003210020
532211441240
63214423240
7562534302
oct202034410
971133216
1034093320
11182768a8
12b501b20
1370a9181
144756972
152ed6ad0
hex2083908

34093320 has 32 divisors (see below), whose sum is σ = 102280320. Its totient is φ = 9091520.

The previous prime is 34093307. The next prime is 34093321. The reversal of 34093320 is 2339043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34093321) by changing a digit.

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, 141936 + ... + 142175.

It is an arithmetic number, because the mean of its divisors is an integer number (3196260).

Almost surely, 234093320 is an apocalyptic number.

34093320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34093320 is an abundant number, since it is smaller than the sum of its proper divisors (68187000).

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

34093320 is a wasteful number, since it uses less digits than its factorization.

34093320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284125 (or 284121 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 34093320 is about 5838.9485354814. The cubic root of 34093320 is about 324.2573020891.

The spelling of 34093320 in words is "thirty-four million, ninety-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 284111 568222 852333 1136444 1420555 1704666 2272888 2841110 3409332 4261665 5682220 6818664 8523330 11364440 17046660 34093320