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34889052 = 22311534987
BaseRepresentation
bin1000010100010…
…1110101011100
32102122112210010
42011011311130
532412422202
63243443220
7602360232
oct205056534
972575703
1034889052
111876a730
12b826510
1372c7413
1448c2952
1530e276c
hex2145d5c

34889052 has 48 divisors (see below), whose sum is σ = 90502272. Its totient is φ = 10370880.

The previous prime is 34889033. The next prime is 34889077. The reversal of 34889052 is 25098843.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34889052.

It is a congruent number.

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, 4503 + ... + 9489.

It is an arithmetic number, because the mean of its divisors is an integer number (1885464).

Almost surely, 234889052 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 34889052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45251136).

34889052 is an abundant number, since it is smaller than the sum of its proper divisors (55613220).

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

34889052 is a wasteful number, since it uses less digits than its factorization.

34889052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 34889052 is about 5906.6955228791. The cubic root of 34889052 is about 326.7606287156.

The spelling of 34889052 in words is "thirty-four million, eight hundred eighty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 4987 6996 9974 14961 19948 29922 54857 59844 109714 164571 219428 264311 329142 528622 658284 792933 1057244 1585866 2907421 3171732 5814842 8722263 11629684 17444526 34889052