Search a number
-
+
3414024 = 233247417
BaseRepresentation
bin1101000001100000001000
320102110011100
431001200020
51333222044
6201101400
741006265
oct15014010
96373140
103414024
111a22009
121187860
13926c43
1464c26c
15476869
hex341808

3414024 has 24 divisors (see below), whose sum is σ = 9246510. Its totient is φ = 1137984.

The previous prime is 3414023. The next prime is 3414031. The reversal of 3414024 is 4204143.

It can be written as a sum of positive squares in only one way, i.e., 3305124 + 108900 = 1818^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 3413988 and 3414006.

It is not an unprimeable number, because it can be changed into a prime (3414023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23637 + ... + 23780.

Almost surely, 23414024 is an apocalyptic number.

It is an amenable number.

3414024 is an abundant number, since it is smaller than the sum of its proper divisors (5832486).

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

3414024 is a wasteful number, since it uses less digits than its factorization.

3414024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47429 (or 47422 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3414024 is about 1847.7077691020. The cubic root of 3414024 is about 150.5759192832.

Adding to 3414024 its reverse (4204143), we get a palindrome (7618167).

The spelling of 3414024 in words is "three million, four hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 47417 94834 142251 189668 284502 379336 426753 569004 853506 1138008 1707012 3414024