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320498112 = 26311263577
BaseRepresentation
bin10011000110100…
…110100111000000
3211100001222202110
4103012212213000
51124021414422
651445215320
710641121554
oct2306464700
9740058673
10320498112
11154a04a80
128b401540
1351526b6c
14307cb864
151d20c60c
hex131a69c0

320498112 has 112 divisors (see below), whose sum is σ = 930200832. Its totient is φ = 96583680.

The previous prime is 320498083. The next prime is 320498131. The reversal of 320498112 is 211894023.

320498112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 320498112.

It is a congruent number.

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, 555168 + ... + 555744.

Almost surely, 2320498112 is an apocalyptic number.

320498112 is a gapful number since it is divisible by the number (32) 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 320498112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465100416).

320498112 is an abundant number, since it is smaller than the sum of its proper divisors (609702720).

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

320498112 is a wasteful number, since it uses less digits than its factorization.

320498112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 320498112 is about 17902.4610598655. The cubic root of 320498112 is about 684.3450944919.

The spelling of 320498112 in words is "three hundred twenty million, four hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 263 264 352 526 528 577 704 789 1052 1056 1154 1578 1731 2104 2112 2308 2893 3156 3462 4208 4616 5786 6312 6347 6924 8416 8679 9232 11572 12624 12694 13848 16832 17358 18464 19041 23144 25248 25388 27696 34716 36928 38082 46288 50496 50776 55392 69432 76164 92576 101552 110784 138864 151751 152328 185152 203104 277728 303502 304656 406208 455253 555456 607004 609312 910506 1214008 1218624 1669261 1821012 2428016 3338522 3642024 4856032 5007783 6677044 7284048 9712064 10015566 13354088 14568096 20031132 26708176 29136192 40062264 53416352 80124528 106832704 160249056 320498112