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34528704 = 2637231117
BaseRepresentation
bin1000001110110…
…1110111000000
32101222020110220
42003231313000
532314404304
63232023040
7566326530
oct203556700
971866426
1034528704
1118543a21
12b691a80
1371cc3b2
14482b4c0
153070ad9
hex20eddc0

34528704 has 112 divisors (see below), whose sum is σ = 109045248. Its totient is φ = 9427968.

The previous prime is 34528687. The next prime is 34528709. The reversal of 34528704 is 40782543.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34528709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30354 + ... + 31470.

Almost surely, 234528704 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 34528704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54522624).

34528704 is an abundant number, since it is smaller than the sum of its proper divisors (74516544).

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

34528704 is a wasteful number, since it uses less digits than its factorization.

34528704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 34528704 is about 5876.1130009556. The cubic root of 34528704 is about 325.6317620596.

The spelling of 34528704 in words is "thirty-four million, five hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1117 1288 1344 1472 1932 2208 2234 2576 3351 3864 4416 4468 5152 6702 7728 7819 8936 10304 13404 15456 15638 17872 23457 25691 26808 30912 31276 35744 46914 51382 53616 62552 71488 77073 93828 102764 107232 125104 154146 179837 187656 205528 214464 250208 308292 359674 375312 411056 500416 539511 616584 719348 750624 822112 1079022 1233168 1438696 1501248 1644224 2158044 2466336 2877392 4316088 4932672 5754784 8632176 11509568 17264352 34528704