Search a number
-
+
434318436 = 22341340489
BaseRepresentation
bin11001111000110…
…010110001100100
31010021020122220000
4121320302301210
51342141142221
6111032541300
713522434336
oct3170626144
91107218800
10434318436
11203185962
12101551830
136bc99076
1441979456
15281e1e26
hex19e32c64

434318436 has 30 divisors (see below), whose sum is σ = 1135395030. Its totient is φ = 144772704.

The previous prime is 434318389. The next prime is 434318441. The reversal of 434318436 is 634813434.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 320768100 + 113550336 = 17910^2 + 10656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 434318436.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 669921 + ... + 670568.

It is an arithmetic number, because the mean of its divisors is an integer number (37846501).

Almost surely, 2434318436 is an apocalyptic number.

It is an amenable number.

434318436 is an abundant number, since it is smaller than the sum of its proper divisors (701076594).

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

434318436 is a wasteful number, since it uses less digits than its factorization.

434318436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340505 (or 1340494 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 434318436 is about 20840.3079631756. The cubic root of 434318436 is about 757.3025541662.

The spelling of 434318436 in words is "four hundred thirty-four million, three hundred eighteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1340489 2680978 4021467 5361956 8042934 12064401 16085868 24128802 36193203 48257604 72386406 108579609 144772812 217159218 434318436