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320016096 = 2534331373
BaseRepresentation
bin10011000100110…
…000111011100000
3211022011111120000
4103010300323200
51123411003341
651431020000
710634043351
oct2304607340
9738144500
10320016096
11154705914
128b20a600
13513b864a
1430703d28
151d1648b6
hex13130ee0

320016096 has 120 divisors (see below), whose sum is σ = 946532664. Its totient is φ = 106064640.

The previous prime is 320016023. The next prime is 320016097. The reversal of 320016096 is 690610023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320016097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 857766 + ... + 858138.

Almost surely, 2320016096 is an apocalyptic number.

320016096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320016096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473266332).

320016096 is an abundant number, since it is smaller than the sum of its proper divisors (626516568).

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

320016096 is a wasteful number, since it uses less digits than its factorization.

320016096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 320016096 is about 17888.9937112181. The cubic root of 320016096 is about 684.0018467171.

The spelling of 320016096 in words is "three hundred twenty million, sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 331 373 432 648 662 746 864 993 1119 1296 1324 1492 1986 2238 2592 2648 2979 2984 3357 3972 4476 5296 5958 5968 6714 7944 8937 8952 10071 10592 11916 11936 13428 15888 17874 17904 20142 23832 26811 26856 30213 31776 35748 35808 40284 47664 53622 53712 60426 71496 80568 95328 107244 107424 120852 123463 142992 161136 214488 241704 246926 285984 322272 370389 428976 483408 493852 740778 857952 966816 987704 1111167 1481556 1975408 2222334 2963112 3333501 3950816 4444668 5926224 6667002 8889336 10000503 11852448 13334004 17778672 20001006 26668008 35557344 40002012 53336016 80004024 106672032 160008048 320016096