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34296096 = 2532997127
BaseRepresentation
bin1000001011010…
…1000100100000
32101112102101210
42002311010200
532234433341
63223030120
7564340422
oct202650440
971472353
1034296096
11183a518a
12b59b340
13714a563
1447aa812
153026c16
hex20b5120

34296096 has 96 divisors (see below), whose sum is σ = 94832640. Its totient is φ = 10838016.

The previous prime is 34296079. The next prime is 34296109. The reversal of 34296096 is 69069243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269985 + ... + 270111.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 234296096 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 34296096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

34296096 is an abundant number, since it is smaller than the sum of its proper divisors (60536544).

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

34296096 is a wasteful number, since it uses less digits than its factorization.

34296096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 34296096 is about 5856.2868782190. The cubic root of 34296096 is about 324.8988908357.

It can be divided in two parts, 3429 and 6096, that multiplied together give a square (20903184 = 45722).

The spelling of 34296096 in words is "thirty-four million, two hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 97 116 127 174 194 232 254 291 348 381 388 464 508 582 696 762 776 928 1016 1164 1392 1524 1552 2032 2328 2784 2813 3048 3104 3683 4064 4656 5626 6096 7366 8439 9312 11049 11252 12192 12319 14732 16878 22098 22504 24638 29464 33756 36957 44196 45008 49276 58928 67512 73914 88392 90016 98552 117856 135024 147828 176784 197104 270048 295656 353568 357251 394208 591312 714502 1071753 1182624 1429004 2143506 2858008 4287012 5716016 8574024 11432032 17148048 34296096