Search a number
-
+
3500424 = 233261797
BaseRepresentation
bin1101010110100110001000
320120211200100
431112212020
51344003144
6203005400
741516214
oct15264610
96524610
103500424
111a80a14
121209860
13957375
14671944
15492269
hex356988

3500424 has 48 divisors (see below), whose sum is σ = 9647820. Its totient is φ = 1146240.

The previous prime is 3500407. The next prime is 3500429. The reversal of 3500424 is 4240053.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3175524 + 324900 = 1782^2 + 570^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3500397 and 3500406.

It is not an unprimeable number, because it can be changed into a prime (3500429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3994 + ... + 4790.

Almost surely, 23500424 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 3500424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823910).

3500424 is an abundant number, since it is smaller than the sum of its proper divisors (6147396).

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

3500424 is a wasteful number, since it uses less digits than its factorization.

3500424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3500424 is about 1870.9420087218. The cubic root of 3500424 is about 151.8355793640.

Adding to 3500424 its reverse (4240053), we get a palindrome (7740477).

The spelling of 3500424 in words is "three million, five hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 797 1098 1464 1594 2196 2391 3188 4392 4782 6376 7173 9564 14346 19128 28692 48617 57384 97234 145851 194468 291702 388936 437553 583404 875106 1166808 1750212 3500424