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721312384 = 27132347401
BaseRepresentation
bin101010111111100…
…101101010000000
31212021021110120111
4222333211222000
52434123444014
6155324121104
723606024362
oct5277455200
91767243514
10721312384
11340186741
12181696194
13b6591c80
146bb24d32
15434d22c4
hex2afe5a80

721312384 has 128 divisors (see below), whose sum is σ = 1653281280. Its totient is φ = 310886400.

The previous prime is 721312379. The next prime is 721312393. The reversal of 721312384 is 483213127.

721312384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798584 + ... + 1798984.

It is an arithmetic number, because the mean of its divisors is an integer number (12916260).

Almost surely, 2721312384 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 721312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826640640).

721312384 is an abundant number, since it is smaller than the sum of its proper divisors (931968896).

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

721312384 is a wasteful number, since it uses less digits than its factorization.

721312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 721312384 is about 26857.2594283184. The cubic root of 721312384 is about 896.8251858018.

The spelling of 721312384 in words is "seven hundred twenty-one million, three hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 47 52 64 92 94 104 128 184 188 208 299 368 376 401 416 598 611 736 752 802 832 1081 1196 1222 1472 1504 1604 1664 2162 2392 2444 2944 3008 3208 4324 4784 4888 5213 6016 6416 8648 9223 9568 9776 10426 12832 14053 17296 18446 18847 19136 19552 20852 25664 28106 34592 36892 37694 38272 39104 41704 51328 56212 69184 73784 75388 78208 83408 112424 119899 138368 147568 150776 166816 224848 239798 245011 295136 301552 333632 433481 449696 479596 490022 590272 603104 667264 866962 899392 959192 980044 1180544 1206208 1733924 1798784 1918384 1960088 2412416 3467848 3836768 3920176 5635253 6935696 7673536 7840352 11270506 13871392 15347072 15680704 22541012 27742784 31361408 45082024 55485568 90164048 180328096 360656192 721312384