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997014312 = 233373189239
BaseRepresentation
bin111011011011010…
…011101100101000
32120111001120112000
4323123103230220
54020213424222
6242533251000
733464324160
oct7333235450
92514046460
10997014312
11471874678
12239a93a60
1312b7331c8
14965b15a0
155c7e19ac
hex3b6d3b28

997014312 has 256 divisors, whose sum is σ = 3317760000. Its totient is φ = 271434240.

The previous prime is 997014307. The next prime is 997014313. The reversal of 997014312 is 213410799.

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

It is not an unprimeable number, because it can be changed into a prime (997014313) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4171489 + ... + 4171727.

It is an arithmetic number, because the mean of its divisors is an integer number (12960000).

Almost surely, 2997014312 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 997014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658880000).

997014312 is an abundant number, since it is smaller than the sum of its proper divisors (2320745688).

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

997014312 is a wasteful number, since it uses less digits than its factorization.

997014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 997014312 is about 31575.5334396745. The cubic root of 997014312 is about 999.0037785390.

The spelling of 997014312 in words is "nine hundred ninety-seven million, fourteen thousand, three hundred twelve".