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99984348 = 22331516131
BaseRepresentation
bin1011111010110…
…10001111011100
320222010201202000
411331122033130
5201043444343
613531002300
72322565362
oct575321734
9228121660
1099984348
11514907a2
1229599390
1317939649
14d3c9632
158b9eed3
hex5f5a3dc

99984348 has 48 divisors (see below), whose sum is σ = 260977920. Its totient is φ = 33102000.

The previous prime is 99984347. The next prime is 99984371. The reversal of 99984348 is 84348999.

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

It is a junction number, because it is equal to n+sod(n) for n = 99984294 and 99984303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99984343) by changing a digit.

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, 13243 + ... + 19373.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 299984348 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 99984348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130488960).

99984348 is an abundant number, since it is smaller than the sum of its proper divisors (160993572).

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

99984348 is a wasteful number, since it uses less digits than its factorization.

99984348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6287 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 99984348 is about 9999.2173693745. The cubic root of 99984348 is about 464.1346653816.

The spelling of 99984348 in words is "ninety-nine million, nine hundred eighty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1359 1812 2718 4077 5436 6131 8154 12262 16308 18393 24524 36786 55179 73572 110358 165537 220716 331074 662148 925781 1851562 2777343 3703124 5554686 8332029 11109372 16664058 24996087 33328116 49992174 99984348