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997363332 = 2232710133907
BaseRepresentation
bin111011011100101…
…000111010000100
32120111201022021200
4323130220322010
54020311111312
6242544542500
733500306550
oct7334507204
92514638250
10997363332
11471a92919
1223a021a30
1312b826024
1496662860
155c8600dc
hex3b728e84

997363332 has 72 divisors (see below), whose sum is σ = 2884854336. Its totient is φ = 284606784.

The previous prime is 997363319. The next prime is 997363337. The reversal of 997363332 is 233363799.

997363332 is a `hidden beast` number, since 9 + 9 + 7 + 3 + 633 + 3 + 2 = 666.

997363332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (997363337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253323 + ... + 257229.

Almost surely, 2997363332 is an apocalyptic number.

It is an amenable number.

997363332 is an abundant number, since it is smaller than the sum of its proper divisors (1887491004).

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

997363332 is a wasteful number, since it uses less digits than its factorization.

997363332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4932 counting only the distinct ones).

The product of its digits is 551124, while the sum is 45.

The square root of 997363332 is about 31581.0597035628. The cubic root of 997363332 is about 999.1203370867.

The spelling of 997363332 in words is "nine hundred ninety-seven million, three hundred sixty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1013 2026 3039 3907 4052 6078 7091 7814 9117 11721 12156 14182 15628 18234 21273 23442 27349 28364 35163 36468 42546 46884 54698 63819 70326 82047 85092 109396 127638 140652 164094 246141 255276 328188 492282 984564 3957791 7915582 11873373 15831164 23746746 27704537 35620119 47493492 55409074 71240238 83113611 110818148 142480476 166227222 249340833 332454444 498681666 997363332