Search a number
-
+
34977 = 389131
BaseRepresentation
bin1000100010100001
31202222110
420202201
52104402
6425533
7203655
oct104241
952873
1034977
1124308
12182a9
1312bc7
14ca65
15a56c
hex88a1

34977 has 8 divisors (see below), whose sum is σ = 47520. Its totient is φ = 22880.

The previous prime is 34963. The next prime is 34981. The reversal of 34977 is 77943.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34977 - 24 = 34961 is a prime.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34977.

It is not an unprimeable number, because it can be changed into a prime (34877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

234977 is an apocalyptic number.

It is an amenable number.

34977 is a deficient number, since it is larger than the sum of its proper divisors (12543).

34977 is a wasteful number, since it uses less digits than its factorization.

34977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223.

The product of its digits is 5292, while the sum is 30.

The square root of 34977 is about 187.0213891511. The cubic root of 34977 is about 32.7034963389.

The spelling of 34977 in words is "thirty-four thousand, nine hundred seventy-seven".

Divisors: 1 3 89 131 267 393 11659 34977