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997414116 = 223597571861
BaseRepresentation
bin111011011100110…
…101010011100100
32120111210212221120
4323130311103210
54020314222431
6242550013540
733500610606
oct7334652344
92514725846
10997414116
11472017a96
1223a0472b0
1312b84318a
1496677176
155c870196
hex3b7354e4

997414116 has 48 divisors (see below), whose sum is σ = 2371145280. Its totient is φ = 326229120.

The previous prime is 997414079. The next prime is 997414127. The reversal of 997414116 is 611414799.

997414116 is a nontrivial binomial coefficient, being equal to C(44664, 2).

It is a super-2 number, since 2×9974141162 = 1989669837592122912, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 535026 + ... + 536886.

It is an arithmetic number, because the mean of its divisors is an integer number (49398860).

Almost surely, 2997414116 is an apocalyptic number.

997414116 is the 44663-rd triangular number and also the 22332-nd hexagonal number.

It is an amenable number.

997414116 is an abundant number, since it is smaller than the sum of its proper divisors (1373731164).

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

997414116 is a wasteful number, since it uses less digits than its factorization.

997414116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2682 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 997414116 is about 31581.8637195464. The cubic root of 997414116 is about 999.1372946201.

It can be divided in two parts, 9974 and 14116, that added together give a triangular number (24090 = T219).

The spelling of 997414116 in words is "nine hundred ninety-seven million, four hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 59 118 177 236 354 708 757 1514 1861 2271 3028 3722 4542 5583 7444 9084 11166 22332 44663 89326 109799 133989 178652 219598 267978 329397 439196 535956 658794 1317588 1408777 2817554 4226331 5635108 8452662 16905324 83117843 166235686 249353529 332471372 498707058 997414116