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723394816 = 28414
BaseRepresentation
bin101011000111100…
…010000100000000
31212102012021010121
4223013202010000
52440142113231
6155440510024
723632516534
oct5307420400
91772167117
10723394816
11341379261
1218231b314
13b6b40a91
146c107bc4
1543794311
hex2b1e2100

723394816 has 45 divisors (see below), whose sum is σ = 1480062955. Its totient is φ = 352875520.

The previous prime is 723394799. The next prime is 723394817. The reversal of 723394816 is 618493327.

The square root of 723394816 is 26896.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 590684416 + 132710400 = 24304^2 + 11520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (723394817) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 17643756 + ... + 17643796.

Almost surely, 2723394816 is an apocalyptic number.

723394816 is the 26896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 723394816

723394816 is an abundant number, since it is smaller than the sum of its proper divisors (756668139).

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

723394816 is an frugal number, since it uses more digits than its factorization.

723394816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 43 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The cubic root of 723394816 is about 897.6874026669.

The spelling of 723394816 in words is "seven hundred twenty-three million, three hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 1681 2624 3362 5248 6724 10496 13448 26896 53792 68921 107584 137842 215168 275684 430336 551368 1102736 2205472 2825761 4410944 5651522 8821888 11303044 17643776 22606088 45212176 90424352 180848704 361697408 723394816