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83140344 = 2334718329
BaseRepresentation
bin1001111010010…
…01111011111000
312210102222010000
410331021323320
5132240442334
612125553000
72026452450
oct475117370
9183388100
1083140344
1142a26631
1223a15760
13142bc891
14b082d60
157474299
hex4f49ef8

83140344 has 80 divisors (see below), whose sum is σ = 266151600. Its totient is φ = 23753088.

The previous prime is 83140327. The next prime is 83140363. The reversal of 83140344 is 44304138.

83140344 is a `hidden beast` number, since 8 + 314 + 0 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4629 + ... + 13700.

It is an arithmetic number, because the mean of its divisors is an integer number (3326895).

Almost surely, 283140344 is an apocalyptic number.

83140344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83140344 is an abundant number, since it is smaller than the sum of its proper divisors (183011256).

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

83140344 is a wasteful number, since it uses less digits than its factorization.

83140344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18354 (or 18341 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 83140344 is about 9118.1327035748. The cubic root of 83140344 is about 436.4527883185.

The spelling of 83140344 in words is "eighty-three million, one hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 18329 36658 54987 73316 109974 128303 146632 164961 219948 256606 329922 384909 439896 494883 513212 659844 769818 989766 1026424 1154727 1319688 1484649 1539636 1979532 2309454 2969298 3079272 3464181 3959064 4618908 5938596 6928362 9237816 10392543 11877192 13856724 20785086 27713448 41570172 83140344