Search a number
-
+
34850504 = 23132149173
BaseRepresentation
bin1000010011110…
…0011011001000
32102120120220102
42010330123020
532410204004
63242544532
7602136653
oct204743310
972516812
1034850504
1118743777
12b808148
1372b2a00
1448b289a
1530d611e
hex213c6c8

34850504 has 48 divisors (see below), whose sum is σ = 71644500. Its totient is φ = 15884544.

The previous prime is 34850483. The next prime is 34850513. The reversal of 34850504 is 40505843.

It can be written as a sum of positive squares in 6 ways, for example, as 5712100 + 29138404 = 2390^2 + 5398^2 .

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 11 ways as a sum of consecutive naturals, for example, 201362 + ... + 201534.

Almost surely, 234850504 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 34850504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35822250).

34850504 is an abundant number, since it is smaller than the sum of its proper divisors (36793996).

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

34850504 is a wasteful number, since it uses less digits than its factorization.

34850504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 34850504 is about 5903.4315444494. The cubic root of 34850504 is about 326.6402412795.

The spelling of 34850504 in words is "thirty-four million, eight hundred fifty thousand, five hundred four".

Divisors: 1 2 4 8 13 26 52 104 149 169 173 298 338 346 596 676 692 1192 1352 1384 1937 2249 3874 4498 7748 8996 15496 17992 25181 25777 29237 50362 51554 58474 100724 103108 116948 201448 206216 233896 335101 670202 1340404 2680808 4356313 8712626 17425252 34850504