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998857440 = 253357172967
BaseRepresentation
bin111011100010010…
…101101011100000
32120121112012211000
4323202111223200
54021201414230
6243040552000
733516101550
oct7342255340
92517465730
10998857440
11472913419
1223a622600
1312bc2a109
1496931160
155ca57b60
hex3b895ae0

998857440 has 768 divisors, whose sum is σ = 4441651200. Its totient is φ = 204374016.

The previous prime is 998857429. The next prime is 998857471. The reversal of 998857440 is 44758899.

998857440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14908287 + ... + 14908353.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2998857440 is an apocalyptic number.

998857440 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 998857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220825600).

998857440 is an abundant number, since it is smaller than the sum of its proper divisors (3442793760).

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

998857440 is a wasteful number, since it uses less digits than its factorization.

998857440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 998857440 is about 31604.7059786988. The cubic root of 998857440 is about 999.6190015253.

The spelling of 998857440 in words is "nine hundred ninety-eight million, eight hundred fifty-seven thousand, four hundred forty".