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35134016 = 26372401
BaseRepresentation
bin1000011000000…
…1101001000000
32110002222210212
42012001221000
532443242031
63253013252
7604430351
oct206015100
973088725
1035134016
1118917785
12b924228
137381a78
144947d28
15314012b
hex2181a40

35134016 has 42 divisors (see below), whose sum is σ = 71832978. Its totient is φ = 17049600.

The previous prime is 35134003. The next prime is 35134027. The reversal of 35134016 is 61043153.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30294016 + 4840000 = 5504^2 + 2200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35133982 and 35134000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87416 + ... + 87816.

It is an arithmetic number, because the mean of its divisors is an integer number (1710309).

Almost surely, 235134016 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 35134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35916489).

35134016 is an abundant number, since it is smaller than the sum of its proper divisors (36698962).

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

35134016 is an equidigital number, since it uses as much as digits as its factorization.

35134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 35134016 is about 5927.3953807722. The cubic root of 35134016 is about 327.5235994881.

Adding to 35134016 its reverse (61043153), we get a palindrome (96177169).

The spelling of 35134016 in words is "thirty-five million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 401 592 802 1184 1369 1604 2368 2738 3208 5476 6416 10952 12832 14837 21904 25664 29674 43808 59348 87616 118696 237392 474784 548969 949568 1097938 2195876 4391752 8783504 17567008 35134016