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34050528 = 2532137863
BaseRepresentation
bin1000000111100…
…1000111100000
32101001221112200
42001321013200
532204104103
63213453200
7562265451
oct201710740
971057480
1034050528
1118247736
12b4a1200
137092855
144745128
152ec90a3
hex20791e0

34050528 has 72 divisors (see below), whose sum is σ = 97651008. Its totient is φ = 11254272.

The previous prime is 34050521. The next prime is 34050559. The reversal of 34050528 is 82505043.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39025 + ... + 39887.

It is an arithmetic number, because the mean of its divisors is an integer number (1356264).

Almost surely, 234050528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34050528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48825504).

34050528 is an abundant number, since it is smaller than the sum of its proper divisors (63600480).

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

34050528 is a wasteful number, since it uses less digits than its factorization.

34050528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 34050528 is about 5835.2830265549. The cubic root of 34050528 is about 324.1215821708.

The spelling of 34050528 in words is "thirty-four million, fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 822 863 1096 1233 1644 1726 2192 2466 2589 3288 3452 4384 4932 5178 6576 6904 7767 9864 10356 13152 13808 15534 19728 20712 27616 31068 39456 41424 62136 82848 118231 124272 236462 248544 354693 472924 709386 945848 1064079 1418772 1891696 2128158 2837544 3783392 4256316 5675088 8512632 11350176 17025264 34050528