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997084914 = 237234612239
BaseRepresentation
bin111011011011100…
…100111011110010
32120111012011100220
4323123210323302
54020223204124
6242534553510
733465040050
oct7333447362
92514164326
10997084914
11471912721
12239b08896
1312b759397
14965cd1d0
155c807879
hex3b6e4ef2

997084914 has 64 divisors (see below), whose sum is σ = 2384363520. Its totient is φ = 271782720.

The previous prime is 997084909. The next prime is 997084927. The reversal of 997084914 is 419480799.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444207 + ... + 446445.

It is an arithmetic number, because the mean of its divisors is an integer number (37255680).

Almost surely, 2997084914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997084914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192181760).

997084914 is an abundant number, since it is smaller than the sum of its proper divisors (1387278606).

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

997084914 is a wasteful number, since it uses less digits than its factorization.

997084914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735.

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 997084914 is about 31576.6514057460. The cubic root of 997084914 is about 999.0273589428.

The spelling of 997084914 in words is "nine hundred ninety-seven million, eighty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 461 483 922 966 1383 2239 2766 3227 4478 6454 6717 9681 10603 13434 15673 19362 21206 31346 31809 47019 51497 63618 74221 94038 102994 148442 154491 222663 308982 360479 445326 720958 1032179 1081437 2064358 2162874 3096537 6193074 7225253 14450506 21675759 23740117 43351518 47480234 71220351 142440702 166180819 332361638 498542457 997084914