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470304 = 25322371
BaseRepresentation
bin1110010110100100000
3212220010200
41302310200
5110022204
614025200
73666102
oct1626440
9786120
10470304
112a138a
121a8200
131360b3
14c3572
1594539
hex72d20

470304 has 72 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 147840.

The previous prime is 470303. The next prime is 470317. The reversal of 470304 is 403074.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (470303) 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, 6589 + ... + 6659.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2470304 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 470304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

470304 is an abundant number, since it is smaller than the sum of its proper divisors (944928).

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

470304 is a wasteful number, since it uses less digits than its factorization.

470304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 470304 is about 685.7871389870. The cubic root of 470304 is about 77.7665604382.

Adding to 470304 its reverse (403074), we get a palindrome (873378).

The spelling of 470304 in words is "four hundred seventy thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 71 72 92 96 138 142 144 184 207 213 276 284 288 368 414 426 552 568 639 736 828 852 1104 1136 1278 1633 1656 1704 2208 2272 2556 3266 3312 3408 4899 5112 6532 6624 6816 9798 10224 13064 14697 19596 20448 26128 29394 39192 52256 58788 78384 117576 156768 235152 470304