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704320 = 2653171
BaseRepresentation
bin10101011111101000000
31022210010221
42223331000
5140014240
623032424
75662261
oct2537500
91283127
10704320
11441191
1229b714
131b8776
14144968
15dda4a
hexabf40

704320 has 56 divisors (see below), whose sum is σ = 1755648. Its totient is φ = 268800.

The previous prime is 704309. The next prime is 704321. The reversal of 704320 is 23407.

704320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 704294 and 704303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704321) by changing a digit.

704320 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 7 ways as a sum of consecutive naturals, for example, 9885 + ... + 9955.

2704320 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 704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824).

704320 is an abundant number, since it is smaller than the sum of its proper divisors (1051328).

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

704320 is a wasteful number, since it uses less digits than its factorization.

704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 704320 is about 839.2377493893. The cubic root of 704320 is about 88.9726802483.

Adding to 704320 its reverse (23407), we get a palindrome (727727).

It can be divided in two parts, 704 and 320, that added together give a 10-th power (1024 = 210).

The spelling of 704320 in words is "seven hundred four thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 71 80 124 142 155 160 248 284 310 320 355 496 568 620 710 992 1136 1240 1420 1984 2201 2272 2480 2840 4402 4544 4960 5680 8804 9920 11005 11360 17608 22010 22720 35216 44020 70432 88040 140864 176080 352160 704320