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704344400 = 245213712853
BaseRepresentation
bin101001111110110…
…111000101010000
31211002100101212122
4221332313011100
52420303010100
6153520313412
723311554134
oct5176670520
91732311778
10704344400
11331647411
12177a72868
13b2c00946
14697893c4
1541c7e985
hex29fb7150

704344400 has 60 divisors (see below), whose sum is σ = 1704671772. Its totient is φ = 279659520.

The previous prime is 704344393. The next prime is 704344409. The reversal of 704344400 is 4443407.

It can be written as a sum of positive squares in 6 ways, for example, as 37258816 + 667085584 = 6104^2 + 25828^2 .

It is a super-2 number, since 2×7043444002 = 992202067622720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 704344400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704344409) 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, 48374 + ... + 61226.

Almost surely, 2704344400 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 704344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852335886).

704344400 is an abundant number, since it is smaller than the sum of its proper divisors (1000327372).

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

704344400 is a wasteful number, since it uses less digits than its factorization.

704344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13008 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 704344400 is about 26539.4875609911. The cubic root of 704344400 is about 889.7370767347.

Adding to 704344400 its reverse (4443407), we get a palindrome (708787807).

The spelling of 704344400 in words is "seven hundred four million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 137 200 274 400 548 685 1096 1370 2192 2740 3425 5480 6850 10960 12853 13700 25706 27400 51412 54800 64265 102824 128530 205648 257060 321325 514120 642650 1028240 1285300 1760861 2570600 3521722 5141200 7043444 8804305 14086888 17608610 28173776 35217220 44021525 70434440 88043050 140868880 176086100 352172200 704344400