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997317090 = 23357311289
BaseRepresentation
bin111011011100011…
…101100111100010
32120111121221212000
4323130131213202
54020303121330
6242543544430
733500025000
oct7334354742
92514557760
10997317090
11471a61100
12239bbb116
1312b80ac73
149664da70
155c851560
hex3b71d9e2

997317090 has 384 divisors, whose sum is σ = 3447360000. Its totient is φ = 204906240.

The previous prime is 997317071. The next prime is 997317091. The reversal of 997317090 is 90713799.

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 (997317091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11205766 + ... + 11205854.

It is an arithmetic number, because the mean of its divisors is an integer number (8977500).

Almost surely, 2997317090 is an apocalyptic number.

997317090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 997317090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680000).

997317090 is an abundant number, since it is smaller than the sum of its proper divisors (2450042910).

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

997317090 is a wasteful number, since it uses less digits than its factorization.

997317090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 107163, while the sum is 45.

The square root of 997317090 is about 31580.3275790483. The cubic root of 997317090 is about 999.1048956940.

The spelling of 997317090 in words is "nine hundred ninety-seven million, three hundred seventeen thousand, ninety".