Search a number
-
+
34946676 = 22325931637
BaseRepresentation
bin1000010101001…
…1111001110100
32102202110211100
42011103321310
532421243201
63245010100
7603020232
oct205237164
972673740
1034946676
11187a9a56
12b853930
13731770b
1448d9952
153104886
hex2153e74

34946676 has 36 divisors (see below), whose sum is σ = 88540452. Its totient is φ = 11622144.

The previous prime is 34946671. The next prime is 34946689. The reversal of 34946676 is 67664943.

34946676 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 2 ways, for example, as 9180900 + 25765776 = 3030^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34946671) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20530 + ... + 22166.

It is an arithmetic number, because the mean of its divisors is an integer number (2459457).

Almost surely, 234946676 is an apocalyptic number.

34946676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34946676 is an abundant number, since it is smaller than the sum of its proper divisors (53593776).

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

34946676 is a wasteful number, since it uses less digits than its factorization.

34946676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2235 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 34946676 is about 5911.5713647050. The cubic root of 34946676 is about 326.9404262598.

The spelling of 34946676 in words is "thirty-four million, nine hundred forty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 593 1186 1637 1779 2372 3274 3558 4911 5337 6548 7116 9822 10674 14733 19644 21348 29466 58932 970741 1941482 2912223 3882964 5824446 8736669 11648892 17473338 34946676