Cookie Consent by FreePrivacyPolicy.com
Search a number
997711344 = 2435725237
BaseRepresentation
bin111011011101111…
…101110111110000
32120112100222200000
4323131331313300
54020403230334
6243000230000
733503256300
oct7335756760
92515328600
10997711344
11472200333
1223a16b300
1312b918556
1496713600
155c8cd299
hex3b77ddf0

997711344 has 180 divisors, whose sum is σ = 3369018744. Its totient is φ = 285005952.

The previous prime is 997711339. The next prime is 997711357. The reversal of 997711344 is 443117799.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 997711344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187894 + ... + 193130.

Almost surely, 2997711344 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 997711344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684509372).

997711344 is an abundant number, since it is smaller than the sum of its proper divisors (2371307400).

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

997711344 is a wasteful number, since it uses less digits than its factorization.

997711344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5249 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 997711344 is about 31586.5690444531. The cubic root of 997711344 is about 999.2365319315.

It can be divided in two parts, 9977 and 11344, that added together give a triangular number (21321 = T206).

The spelling of 997711344 in words is "nine hundred ninety-seven million, seven hundred eleven thousand, three hundred forty-four".