Search a number
-
+
3435005354 = 2112101313449
BaseRepresentation
bin1100110010111110…
…0000010110101010
322212101120100111112
43030233200112222
524013330132404
61324504030322
7151060030604
oct31457402652
98771510445
103435005354
111502a75400
127ba4623a2
13429861161
142482c0174
1515186e56e
hexccbe05aa

3435005354 has 48 divisors (see below), whose sum is σ = 5750627400. Its totient is φ = 1537536000.

The previous prime is 3435005341. The next prime is 3435005389. The reversal of 3435005354 is 4535005343.

3435005354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2923024225 + 511981129 = 54065^2 + 22627^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3435005354.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7650122 + ... + 7650570.

Almost surely, 23435005354 is an apocalyptic number.

3435005354 is a deficient number, since it is larger than the sum of its proper divisors (2315622046).

3435005354 is a wasteful number, since it uses less digits than its factorization.

3435005354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The square root of 3435005354 is about 58608.9187240304. The cubic root of 3435005354 is about 1508.8375120722.

The spelling of 3435005354 in words is "three billion, four hundred thirty-five million, five thousand, three hundred fifty-four".

Divisors: 1 2 11 22 101 121 202 242 313 449 626 898 1111 2222 3443 4939 6886 9878 12221 24442 31613 37873 45349 54329 63226 75746 90698 108658 140537 281074 347743 498839 695486 997678 1545907 3091814 3825173 5487229 7650346 10974458 14194237 17004977 28388474 34009954 156136607 312273214 1717502677 3435005354