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998334720 = 283459629
BaseRepresentation
bin111011100000010…
…110000100000000
32120120112122210000
4323200112010000
54021033202340
6243021440000
733511463565
oct7340260400
92516478700
10998334720
11472596719
1223a410000
1312baa6206
149683686c
155c9a2d30
hex3b816100

998334720 has 180 divisors, whose sum is σ = 3572595180. Its totient is φ = 266194944.

The previous prime is 998334719. The next prime is 998334769. The reversal of 998334720 is 27433899.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 756470016 + 241864704 = 27504^2 + 15552^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98866 + ... + 108494.

It is an arithmetic number, because the mean of its divisors is an integer number (19847751).

Almost surely, 2998334720 is an apocalyptic number.

998334720 is a gapful number since it is divisible by the number (90) 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 998334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786297590).

998334720 is an abundant number, since it is smaller than the sum of its proper divisors (2574260460).

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

998334720 is an equidigital number, since it uses as much as digits as its factorization.

998334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9662 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 998334720 is about 31596.4352419699. The cubic root of 998334720 is about 999.4445982527. Note that the first 3 decimals are identical.

The spelling of 998334720 in words is "nine hundred ninety-eight million, three hundred thirty-four thousand, seven hundred twenty".