Search a number
-
+
3431453312 = 27714925703
BaseRepresentation
bin1100110010000111…
…1101001010000000
322212010212220000102
43030201331022000
524011423001222
61324255541532
7151014605030
oct31441751200
98763786012
103431453312
111500a69731
127b922a8a8
13428bb9461
14247a378c0
151513bbd92
hexcc87d280

3431453312 has 64 divisors (see below), whose sum is σ = 7865424000. Its totient is φ = 1460696064.

The previous prime is 3431453293. The next prime is 3431453321. The reversal of 3431453312 is 2133541343.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 120653 + ... + 146355.

It is an arithmetic number, because the mean of its divisors is an integer number (122897250).

Almost surely, 23431453312 is an apocalyptic number.

3431453312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932712000).

3431453312 is an abundant number, since it is smaller than the sum of its proper divisors (4433970688).

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

3431453312 is a wasteful number, since it uses less digits than its factorization.

3431453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25873 (or 25861 counting only the distinct ones).

The product of its digits is 12960, while the sum is 29.

The square root of 3431453312 is about 58578.6079725355. The cubic root of 3431453312 is about 1508.3172506193.

Adding to 3431453312 its reverse (2133541343), we get a palindrome (5564994655).

The spelling of 3431453312 in words is "three billion, four hundred thirty-one million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 298 448 596 896 1043 1192 2086 2384 4172 4768 8344 9536 16688 19072 25703 33376 51406 66752 102812 133504 179921 205624 359842 411248 719684 822496 1439368 1644992 2878736 3289984 3829747 5757472 7659494 11514944 15318988 23029888 26808229 30637976 53616458 61275952 107232916 122551904 214465832 245103808 428931664 490207616 857863328 1715726656 3431453312