Search a number
-
+
34698006 = 23271132437
BaseRepresentation
bin1000010001011…
…1001100010110
32102021211201100
42010113030112
532340314011
63235410530
7600633240
oct204271426
972254640
1034698006
111864a142
12b753a46
13725b485
144873090
1530a5d56
hex2117316

34698006 has 48 divisors (see below), whose sum is σ = 86714784. Its totient is φ = 9821952.

The previous prime is 34697983. The next prime is 34698011. The reversal of 34698006 is 60089643.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

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, 13020 + ... + 15456.

It is an arithmetic number, because the mean of its divisors is an integer number (1806558).

Almost surely, 234698006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34698006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43357392).

34698006 is an abundant number, since it is smaller than the sum of its proper divisors (52016778).

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

34698006 is a wasteful number, since it uses less digits than its factorization.

34698006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34698006 is about 5890.5013368982. The cubic root of 34698006 is about 326.1631098152.

The spelling of 34698006 in words is "thirty-four million, six hundred ninety-eight thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 2034 2373 2437 4746 4874 7119 7311 14238 14622 17059 21933 34118 43866 51177 102354 153531 275381 307062 550762 826143 1652286 1927667 2478429 3855334 4956858 5783001 11566002 17349003 34698006