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34310052 = 22327173787
BaseRepresentation
bin1000001011100…
…0011110100100
32101120010112200
42002320132210
532240410202
63223214500
7564426210
oct202703644
971503480
1034310052
1118404717
12b5a7430
137153a0a
1447b1940
15302ae1c
hex20b87a4

34310052 has 72 divisors (see below), whose sum is σ = 99817536. Its totient is φ = 9733824.

The previous prime is 34310041. The next prime is 34310113. The reversal of 34310052 is 25001343.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43203 + ... + 43989.

Almost surely, 234310052 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 34310052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49908768).

34310052 is an abundant number, since it is smaller than the sum of its proper divisors (65507484).

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

34310052 is a wasteful number, since it uses less digits than its factorization.

34310052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34310052 is about 5857.4782970149. The cubic root of 34310052 is about 324.9429548793.

Adding to 34310052 its reverse (25001343), we get a palindrome (59311395).

The spelling of 34310052 in words is "thirty-four million, three hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 173 252 346 519 692 787 1038 1211 1557 1574 2076 2361 2422 3114 3148 3633 4722 4844 5509 6228 7083 7266 9444 10899 11018 14166 14532 16527 21798 22036 28332 33054 43596 49581 66108 99162 136151 198324 272302 408453 544604 816906 953057 1225359 1633812 1906114 2450718 2859171 3812228 4901436 5718342 8577513 11436684 17155026 34310052