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994453920 = 253251921913
BaseRepresentation
bin111011010001100…
…010100110100000
32120022020111022200
4323101202212200
54014040011140
6242402333200
733433501365
oct7321424640
92508214280
10994453920
11470385a49
1223905a200
1312b047995
149610646c
155c488030
hex3b4629a0

994453920 has 216 divisors, whose sum is σ = 3583455876. Its totient is φ = 251099136.

The previous prime is 994453861. The next prime is 994453927. The reversal of 994453920 is 29354499.

It is a happy number.

994453920 is a `hidden beast` number, since 9 + 94 + 4 + 539 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 975687696 + 18766224 = 31236^2 + 4332^2 .

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

It is not an unprimeable number, because it can be changed into a prime (994453927) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 518884 + ... + 520796.

Almost surely, 2994453920 is an apocalyptic number.

994453920 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 994453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791727938).

994453920 is an abundant number, since it is smaller than the sum of its proper divisors (2589001956).

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

994453920 is a wasteful number, since it uses less digits than its factorization.

994453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 994453920 is about 31534.9634532847. The cubic root of 994453920 is about 998.1478784302.

The spelling of 994453920 in words is "nine hundred ninety-four million, four hundred fifty-three thousand, nine hundred twenty".