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84303384 = 233113110301
BaseRepresentation
bin1010000011001…
…01111000011000
312212122001111120
411001211320120
5133040202014
612210525240
72042365314
oct501457030
9185561446
1084303384
1143650420
1224296820
1314609079
14b2a6b44
157603ba9
hex5065e18

84303384 has 64 divisors (see below), whose sum is σ = 237358080. Its totient is φ = 24720000.

The previous prime is 84303371. The next prime is 84303397. The reversal of 84303384 is 48330348.

It is an interprime number because it is at equal distance from previous prime (84303371) and next prime (84303397).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3034 + ... + 13334.

It is an arithmetic number, because the mean of its divisors is an integer number (3708720).

Almost surely, 284303384 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 84303384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118679040).

84303384 is an abundant number, since it is smaller than the sum of its proper divisors (153054696).

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

84303384 is a wasteful number, since it uses less digits than its factorization.

84303384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 84303384 is about 9181.6874266117. The cubic root of 84303384 is about 438.4785328925.

The spelling of 84303384 in words is "eighty-four million, three hundred three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 10301 20602 30903 41204 61806 82408 113311 123612 226622 247224 319331 339933 453244 638662 679866 906488 957993 1277324 1359732 1915986 2554648 2719464 3512641 3831972 7025282 7663944 10537923 14050564 21075846 28101128 42151692 84303384