Search a number
-
+
3435331116 = 2237794871063
BaseRepresentation
bin1100110011000010…
…1111111000101100
322212102011220100210
43030300233320230
524013421043431
61324515022420
7151062555420
oct31460577054
98772156323
103435331116
111503178128
127ba59aa10
13429946509
14248366b80
151518d5d46
hexccc2fe2c

3435331116 has 96 divisors (see below), whose sum is σ = 9304637440. Its totient is φ = 966199104.

The previous prime is 3435331063. The next prime is 3435331147. The reversal of 3435331116 is 6111335343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3231201 + ... + 3232263.

Almost surely, 23435331116 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 3435331116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652318720).

3435331116 is an abundant number, since it is smaller than the sum of its proper divisors (5869306324).

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

3435331116 is a wasteful number, since it uses less digits than its factorization.

3435331116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1641 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 3435331116 is about 58611.6977744204. The cubic root of 3435331116 is about 1508.8852079114.

Adding to 3435331116 its reverse (6111335343), we get a palindrome (9546666459).

The spelling of 3435331116 in words is "three billion, four hundred thirty-five million, three hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 487 553 948 974 1063 1106 1461 1659 1948 2126 2212 2922 3189 3318 3409 4252 5844 6378 6636 6818 7441 10227 12756 13636 14882 20454 22323 29764 38473 40908 44646 76946 83977 89292 115419 153892 167954 230838 251931 269311 335908 461676 503862 517681 538622 587839 807933 1007724 1035362 1077244 1175678 1553043 1615866 1763517 2070724 2351356 3106086 3231732 3527034 3623767 6212172 7054068 7247534 10871301 14495068 21742602 40896799 43485204 81793598 122690397 163587196 245380794 286277593 490761588 572555186 858832779 1145110372 1717665558 3435331116