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83484340 = 2258115147
BaseRepresentation
bin1001111100111…
…01111010110100
312211002102222121
410332131322310
5132332444330
612141205324
72032414402
oct476357264
9184072877
1083484340
1143141025
1223b60844
13143b0324
14b132472
1574e117a
hex4f9deb4

83484340 has 24 divisors (see below), whose sum is σ = 175567392. Its totient is φ = 33346080.

The previous prime is 83484329. The next prime is 83484341. The reversal of 83484340 is 4348438.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83484296 and 83484305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83484341) 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 7 ways as a sum of consecutive naturals, for example, 13647 + ... + 18793.

It is an arithmetic number, because the mean of its divisors is an integer number (7315308).

Almost surely, 283484340 is an apocalyptic number.

It is an amenable number.

83484340 is an abundant number, since it is smaller than the sum of its proper divisors (92083052).

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

83484340 is a wasteful number, since it uses less digits than its factorization.

83484340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 83484340 is about 9136.9765239930. The cubic root of 83484340 is about 437.0539061143.

The spelling of 83484340 in words is "eighty-three million, four hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 811 1622 3244 4055 5147 8110 10294 16220 20588 25735 51470 102940 4174217 8348434 16696868 20871085 41742170 83484340