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999968328 = 23351927073
BaseRepresentation
bin111011100110100…
…100111001001000
32120200121122200000
4323212210321020
54021442441303
6243120443000
733531406362
oct7346447110
92520548600
10999968328
11473502007
1223aa79460
1312c228948
1496b3dd32
155cbc6da3
hex3b9a4e48

999968328 has 96 divisors (see below), whose sum is σ = 2956480800. Its totient is φ = 315767808.

The previous prime is 999968297. The next prime is 999968329. The reversal of 999968328 is 823869999.

999968328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (999968329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23400 + ... + 50472.

It is an arithmetic number, because the mean of its divisors is an integer number (30796675).

Almost surely, 2999968328 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 999968328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478240400).

999968328 is an abundant number, since it is smaller than the sum of its proper divisors (1956512472).

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

999968328 is a wasteful number, since it uses less digits than its factorization.

999968328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27113 (or 27097 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The square root of 999968328 is about 31622.2758194283. The cubic root of 999968328 is about 999.9894425552.

The spelling of 999968328 in words is "nine hundred ninety-nine million, nine hundred sixty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 3078 4104 4617 6156 9234 12312 18468 27073 36936 54146 81219 108292 162438 216584 243657 324876 487314 514387 649752 730971 974628 1028774 1461942 1543161 1949256 2057548 2192913 2923884 3086322 4115096 4385826 4629483 5847768 6172644 6578739 8771652 9258966 12345288 13157478 13888449 17543304 18517932 26314956 27776898 37035864 41665347 52629912 55553796 83330694 111107592 124996041 166661388 249992082 333322776 499984164 999968328