Search a number
-
+
474084 = 2232131013
BaseRepresentation
bin1110011101111100100
3220002022200
41303233210
5110132314
614054500
74013112
oct1635744
9802280
10474084
112a4206
121aa430
13137a30
14c4ab2
1595709
hex73be4

474084 has 36 divisors (see below), whose sum is σ = 1291836. Its totient is φ = 145728.

The previous prime is 474077. The next prime is 474101. The reversal of 474084 is 480474.

It can be written as a sum of positive squares in 2 ways, for example, as 22500 + 451584 = 150^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

474084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 974.

2474084 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 474084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645918).

474084 is an abundant number, since it is smaller than the sum of its proper divisors (817752).

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

474084 is a wasteful number, since it uses less digits than its factorization.

474084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 474084 is about 688.5375806737. The cubic root of 474084 is about 77.9743505407.

It can be divided in two parts, 4 and 74084, that added together give a cube (74088 = 423).

The spelling of 474084 in words is "four hundred seventy-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1013 2026 3039 4052 6078 9117 12156 13169 18234 26338 36468 39507 52676 79014 118521 158028 237042 474084