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730400 = 25521183
BaseRepresentation
bin10110010010100100000
31101002220212
42302110200
5141333100
623353252
76131306
oct2622440
91332825
10730400
11459840
122b2828
131c75b8
14150276
15e6635
hexb2520

730400 has 72 divisors (see below), whose sum is σ = 1968624. Its totient is φ = 262400.

The previous prime is 730399. The next prime is 730421. The reversal of 730400 is 4037.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8759 + ... + 8841.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2730400 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 730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312).

730400 is an abundant number, since it is smaller than the sum of its proper divisors (1238224).

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

730400 is a wasteful number, since it uses less digits than its factorization.

730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 730400 is about 854.6344247689. The cubic root of 730400 is about 90.0575763272.

Adding to 730400 its reverse (4037), we get a palindrome (734437).

The spelling of 730400 in words is "seven hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 83 88 100 110 160 166 176 200 220 275 332 352 400 415 440 550 664 800 830 880 913 1100 1328 1660 1760 1826 2075 2200 2656 3320 3652 4150 4400 4565 6640 7304 8300 8800 9130 13280 14608 16600 18260 22825 29216 33200 36520 45650 66400 73040 91300 146080 182600 365200 730400