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704368 = 24719331
BaseRepresentation
bin10101011111101110000
31022210012201
42223331300
5140014433
623032544
75662360
oct2537560
91283181
10704368
11441225
1229b754
131b87b2
141449a0
15dda7d
hexabf70

704368 has 40 divisors (see below), whose sum is σ = 1646720. Its totient is φ = 285120.

The previous prime is 704357. The next prime is 704393. The reversal of 704368 is 863407.

It is a super-3 number, since 3×7043683 = 1048383330387972096, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

704368 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, 1963 + ... + 2293.

It is an arithmetic number, because the mean of its divisors is an integer number (41168).

2704368 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 704368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823360).

704368 is an abundant number, since it is smaller than the sum of its proper divisors (942352).

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

704368 is a wasteful number, since it uses less digits than its factorization.

704368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 704368 is about 839.2663462811. The cubic root of 704368 is about 88.9747013900.

Subtracting from 704368 its product of nonzero digits (4032), we obtain a triangular number (700336 = T1183).

The spelling of 704368 in words is "seven hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 331 532 662 1064 1324 2128 2317 2648 4634 5296 6289 9268 12578 18536 25156 37072 44023 50312 88046 100624 176092 352184 704368