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34521084 = 223213174339
BaseRepresentation
bin1000001110101…
…1111111111100
32101221212000200
42003223333330
532314133314
63231523500
7566265363
oct203537774
971855020
1034521084
1118539224
12b689590
1371c8aa0
1448287da
15306d709
hex20ebffc

34521084 has 72 divisors (see below), whose sum is σ = 99524880. Its totient is φ = 9994752.

The previous prime is 34521061. The next prime is 34521133. The reversal of 34521084 is 48012543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5787 + ... + 10125.

It is an arithmetic number, because the mean of its divisors is an integer number (1382290).

Almost surely, 234521084 is an apocalyptic number.

34521084 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34521084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762440).

34521084 is an abundant number, since it is smaller than the sum of its proper divisors (65003796).

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

34521084 is a wasteful number, since it uses less digits than its factorization.

34521084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 34521084 is about 5875.4645773760. The cubic root of 34521084 is about 325.6078061785.

The spelling of 34521084 in words is "thirty-four million, five hundred twenty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 4339 7956 8678 13017 17356 26034 39051 52068 56407 73763 78102 112814 147526 156204 169221 221289 225628 295052 338442 442578 507663 663867 676884 885156 958919 1015326 1327734 1917838 2030652 2655468 2876757 3835676 5753514 8630271 11507028 17260542 34521084