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83674404 = 223311219337
BaseRepresentation
bin1001111110011…
…00010100100100
312211110002201000
410333030110210
5132410040104
612145233300
72034135462
oct477142444
9184402630
1083674404
1143260900
1224032830
13144489a8
14b181832
15752c639
hex4fcc524

83674404 has 144 divisors (see below), whose sum is σ = 251742400. Its totient is φ = 23950080.

The previous prime is 83674397. The next prime is 83674411. The reversal of 83674404 is 40447638.

It is an interprime number because it is at equal distance from previous prime (83674397) and next prime (83674411).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248124 + ... + 248460.

Almost surely, 283674404 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 83674404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125871200).

83674404 is an abundant number, since it is smaller than the sum of its proper divisors (168067996).

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

83674404 is a wasteful number, since it uses less digits than its factorization.

83674404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 83674404 is about 9147.3714257157. The cubic root of 83674404 is about 437.3853265713.

The spelling of 83674404 in words is "eighty-three million, six hundred seventy-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 121 132 171 198 209 228 242 297 337 342 363 396 418 484 513 594 627 674 684 726 836 1011 1026 1089 1188 1254 1348 1452 1881 2022 2052 2178 2299 2508 3033 3267 3707 3762 4044 4356 4598 5643 6066 6403 6534 6897 7414 7524 9099 9196 11121 11286 12132 12806 13068 13794 14828 18198 19209 20691 22242 22572 25612 27588 33363 36396 38418 40777 41382 44484 57627 62073 66726 70433 76836 81554 82764 100089 115254 122331 124146 133452 140866 163108 172881 200178 211299 230508 244662 248292 281732 345762 366993 400356 422598 489324 633897 691524 733986 774763 845196 1100979 1267794 1467972 1549526 1901691 2201958 2324289 2535588 3099052 3803382 4403916 4648578 6972867 7606764 9297156 13945734 20918601 27891468 41837202 83674404