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34050896 = 241131792
BaseRepresentation
bin1000000111100…
…1001101010000
32101001222001022
42001321031100
532204112041
63213455012
7562266515
oct201711520
971058038
1034050896
1118247a40
12b4a1468
137092a79
14474530c
152ec924b
hex2079350

34050896 has 60 divisors (see below), whose sum is σ = 75245184. Its totient is φ = 14788800.

The previous prime is 34050893. The next prime is 34050937. The reversal of 34050896 is 69805043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050893) 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, 430985 + ... + 431063.

Almost surely, 234050896 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 34050896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37622592).

34050896 is an abundant number, since it is smaller than the sum of its proper divisors (41194288).

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

34050896 is a wasteful number, since it uses less digits than its factorization.

34050896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 34050896 is about 5835.3145587877. The cubic root of 34050896 is about 324.1227498111.

The spelling of 34050896 in words is "thirty-four million, fifty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 79 88 124 158 176 248 316 341 496 632 682 869 1264 1364 1738 2449 2728 3476 4898 5456 6241 6952 9796 12482 13904 19592 24964 26939 39184 49928 53878 68651 99856 107756 137302 193471 215512 274604 386942 431024 549208 773884 1098416 1547768 2128181 3095536 4256362 8512724 17025448 34050896