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997194240 = 293557229
BaseRepresentation
bin111011011011111…
…111101000000000
32120111101201100000
4323123333220000
54020240203430
6242541200000
733466003560
oct7333775000
92514351300
10997194240
11471987879
12239b60000
1312b797083
149661ada0
155c829e60
hex3b6ffa00

997194240 has 480 divisors, whose sum is σ = 4110986880. Its totient is φ = 226934784.

The previous prime is 997194227. The next prime is 997194257. The reversal of 997194240 is 42491799.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354446 + ... + 4354674.

It is an arithmetic number, because the mean of its divisors is an integer number (8564556).

Almost surely, 2997194240 is an apocalyptic number.

997194240 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 997194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055493440).

997194240 is an abundant number, since it is smaller than the sum of its proper divisors (3113792640).

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

997194240 is an equidigital number, since it uses as much as digits as its factorization.

997194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 997194240 is about 31578.3824791581. The cubic root of 997194240 is about 999.0638706019.

The spelling of 997194240 in words is "nine hundred ninety-seven million, one hundred ninety-four thousand, two hundred forty".