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998243400 = 23352711173141
BaseRepresentation
bin111011011111111…
…111110001001000
32120120101000111210
4323133333301020
54021022242100
6243015453120
733510633420
oct7337776110
92516330453
10998243400
11472534050
1223a3871a0
1312ba7378b
1496811480
155c985c50
hex3b7ffc48

998243400 has 768 divisors, whose sum is σ = 4319723520. Its totient is φ = 184320000.

The previous prime is 998243377. The next prime is 998243419. The reversal of 998243400 is 4342899.

998243400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24347380 + ... + 24347420.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2998243400 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 998243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159861760).

998243400 is an abundant number, since it is smaller than the sum of its proper divisors (3321480120).

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

998243400 is a wasteful number, since it uses less digits than its factorization.

998243400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 998243400 is about 31594.9901091929. The cubic root of 998243400 is about 999.4141234824.

The spelling of 998243400 in words is "nine hundred ninety-eight million, two hundred forty-three thousand, four hundred".