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994007040 = 211351319131
BaseRepresentation
bin111011001111110…
…101100000000000
32120021101210022120
4323033311200000
54013431211130
6242345004240
733426630465
oct7317654000
92507353276
10994007040
11470100224
12238a83680
1312ac1c460
149602b66c
155c3ea910
hex3b3f5800

994007040 has 384 divisors, whose sum is σ = 3632428800. Its totient is φ = 230031360.

The previous prime is 994007011. The next prime is 994007057. The reversal of 994007040 is 40700499.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 994006992 and 994007010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7587775 + ... + 7587905.

It is an arithmetic number, because the mean of its divisors is an integer number (9459450).

Almost surely, 2994007040 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 994007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

994007040 is an abundant number, since it is smaller than the sum of its proper divisors (2638421760).

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

994007040 is a wasteful number, since it uses less digits than its factorization.

994007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 994007040 is about 31527.8771882916. The cubic root of 994007040 is about 997.9983427081.

The spelling of 994007040 in words is "nine hundred ninety-four million, seven thousand, forty".