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9997344 = 253471929
BaseRepresentation
bin100110001000…
…110000100000
3200210220210000
4212020300200
510024403334
6554140000
7150655530
oct46106040
920726700
109997344
115709175
123421600
1320c05b6
1414834c0
15d27299
hex988c20

9997344 has 240 divisors, whose sum is σ = 36590400. Its totient is φ = 2612736.

The previous prime is 9997333. The next prime is 9997349. The reversal of 9997344 is 4437999.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9997344.

It is not an unprimeable number, because it can be changed into a prime (9997349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344722 + ... + 344750.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

Almost surely, 29997344 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 9997344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

9997344 is an abundant number, since it is smaller than the sum of its proper divisors (26593056).

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

9997344 is a wasteful number, since it uses less digits than its factorization.

9997344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 9997344 is about 3161.8576818067. The cubic root of 9997344 is about 215.4243933858.

The spelling of 9997344 in words is "nine million, nine hundred ninety-seven thousand, three hundred forty-four".