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34969216 = 272291193
BaseRepresentation
bin1000010101100…
…1011010000000
32102210121202011
42011121122000
532423003331
63245302304
7603143032
oct205313200
972717664
1034969216
1118814987
12b864994
137324a59
144903c52
15310b3b1
hex2159680

34969216 has 32 divisors (see below), whose sum is σ = 70028100. Its totient is φ = 17393664.

The previous prime is 34969211. The next prime is 34969217. The reversal of 34969216 is 61296943.

It can be written as a sum of positive squares in 2 ways, for example, as 32535616 + 2433600 = 5704^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34969211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28716 + ... + 29908.

Almost surely, 234969216 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 34969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35014050).

34969216 is an abundant number, since it is smaller than the sum of its proper divisors (35058884).

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

34969216 is a wasteful number, since it uses less digits than its factorization.

34969216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1424 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 34969216 is about 5913.4774879084. The cubic root of 34969216 is about 327.0107014550.

The spelling of 34969216 in words is "thirty-four million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 229 458 916 1193 1832 2386 3664 4772 7328 9544 14656 19088 29312 38176 76352 152704 273197 546394 1092788 2185576 4371152 8742304 17484608 34969216