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34110320 = 2451922441
BaseRepresentation
bin1000001000011…
…1101101110000
32101011222120012
42002013231300
532213012240
63215034052
7562634666
oct202075560
971158505
1034110320
1118288652
12b50b928
1370b3b2a
14475cc36
152edbb65
hex2087b70

34110320 has 40 divisors (see below), whose sum is σ = 83484240. Its totient is φ = 12925440.

The previous prime is 34110299. The next prime is 34110343. The reversal of 34110320 is 2301143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34110295 and 34110304.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9701 + ... + 12740.

It is an arithmetic number, because the mean of its divisors is an integer number (2087106).

Almost surely, 234110320 is an apocalyptic number.

It is an amenable number.

34110320 is an abundant number, since it is smaller than the sum of its proper divisors (49373920).

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

34110320 is a wasteful number, since it uses less digits than its factorization.

34110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22473 (or 22467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 34110320 is about 5840.4040956085. The cubic root of 34110320 is about 324.3111880916.

Adding to 34110320 its reverse (2301143), we get a palindrome (36411463).

The spelling of 34110320 in words is "thirty-four million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 22441 44882 89764 112205 179528 224410 359056 426379 448820 852758 897640 1705516 1795280 2131895 3411032 4263790 6822064 8527580 17055160 34110320