Search a number
-
+
34326512 = 2411416771
BaseRepresentation
bin1000001011110…
…0011111110000
32101120222010022
42002330133300
532241422022
63223423012
7564525203
oct202743760
971528108
1034326512
1118416020
12b5b4a68
13715b35c
1447b793a
153030c42
hex20bc7f0

34326512 has 80 divisors (see below), whose sum is σ = 76495104. Its totient is φ = 14784000.

The previous prime is 34326493. The next prime is 34326529. The reversal of 34326512 is 21562343.

34326512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×343265122 = 2356618852172288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483437 + ... + 483507.

Almost surely, 234326512 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 34326512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38247552).

34326512 is an abundant number, since it is smaller than the sum of its proper divisors (42168592).

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

34326512 is a wasteful number, since it uses less digits than its factorization.

34326512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 34326512 is about 5858.8831700248. The cubic root of 34326512 is about 324.9949095850.

Adding to 34326512 its reverse (21562343), we get a palindrome (55888855).

The spelling of 34326512 in words is "thirty-four million, three hundred twenty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 41 44 67 71 82 88 134 142 164 176 268 284 328 451 536 568 656 737 781 902 1072 1136 1474 1562 1804 2747 2911 2948 3124 3608 4757 5494 5822 5896 6248 7216 9514 10988 11644 11792 12496 19028 21976 23288 30217 32021 38056 43952 46576 52327 60434 64042 76112 104654 120868 128084 195037 209308 241736 256168 390074 418616 483472 512336 780148 837232 1560296 2145407 3120592 4290814 8581628 17163256 34326512