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997411968 = 27377509
BaseRepresentation
bin111011011100110…
…100110010000000
32120111210210000000
4323130310302000
54020314140333
6242550000000
733500601420
oct7334646200
92514723000
10997411968
11472016413
1223a046000
1312b8421c7
1496676480
155c86e713
hex3b734c80

997411968 has 256 divisors, whose sum is σ = 3412512000. Its totient is φ = 284414976.

The previous prime is 997411939. The next prime is 997411969. The reversal of 997411968 is 869114799.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 not an unprimeable number, because it can be changed into a prime (997411969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959298 + ... + 1959806.

It is an arithmetic number, because the mean of its divisors is an integer number (13330125).

Almost surely, 2997411968 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 997411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706256000).

997411968 is an abundant number, since it is smaller than the sum of its proper divisors (2415100032).

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

997411968 is an frugal number, since it uses more digits than its factorization.

997411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 521 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 997411968 is about 31581.8297126686. The cubic root of 997411968 is about 999.1365773826.

The spelling of 997411968 in words is "nine hundred ninety-seven million, four hundred eleven thousand, nine hundred sixty-eight".