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474336 = 253561
BaseRepresentation
bin1110011110011100000
3220002200000
41303303200
5110134321
614100000
74013622
oct1636340
9802600
10474336
112a4415
121aa600
13137b95
14c4c12
1595826
hex73ce0

474336 has 72 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 155520.

The previous prime is 474319. The next prime is 474337. The reversal of 474336 is 633474.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474337) by changing a digit.

474336 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, 7746 + ... + 7806.

It is an arithmetic number, because the mean of its divisors is an integer number (19747).

474336 is a Friedman number, since it can be written as (74+4)^3-6^3, using all its digits and the basic arithmetic operations.

2474336 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 474336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

474336 is an abundant number, since it is smaller than the sum of its proper divisors (947448).

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

474336 is an equidigital number, since it uses as much as digits as its factorization.

474336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 474336 is about 688.7205529095. The cubic root of 474336 is about 77.9881638845.

The spelling of 474336 in words is "four hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 243 244 288 324 366 432 486 488 549 648 732 864 972 976 1098 1296 1464 1647 1944 1952 2196 2592 2928 3294 3888 4392 4941 5856 6588 7776 8784 9882 13176 14823 17568 19764 26352 29646 39528 52704 59292 79056 118584 158112 237168 474336