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994338000 = 243253371493
BaseRepresentation
bin111011010001000…
…110010011010000
32120022000121022100
4323101012103100
54014022304000
6242400040400
733432506415
oct7321062320
92508017270
10994338000
11470306947
12239003100
1312b006ca6
14960b610c
155c463a00
hex3b4464d0

994338000 has 240 divisors, whose sum is σ = 3569142096. Its totient is φ = 257817600.

The previous prime is 994337987. The next prime is 994338013. The reversal of 994338000 is 833499.

It is an interprime number because it is at equal distance from previous prime (994337987) and next prime (994338013).

It can be written as a sum of positive squares in 8 ways, for example, as 27625536 + 966712464 = 5256^2 + 31092^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665254 + ... + 666746.

Almost surely, 2994338000 is an apocalyptic number.

994338000 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 994338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784571048).

994338000 is an abundant number, since it is smaller than the sum of its proper divisors (2574804096).

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

994338000 is a wasteful number, since it uses less digits than its factorization.

994338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 994338000 is about 31533.1254397657. The cubic root of 994338000 is about 998.1090933925.

The spelling of 994338000 in words is "nine hundred ninety-four million, three hundred thirty-eight thousand".