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8364104 = 2372191123
BaseRepresentation
bin11111111010000001001000
3120201221101122
4133322001020
54120122404
6455134412
7131044100
oct37720110
916657348
108364104
1147a3091
122974408
13196b098
14117a200
15b033be
hex7fa048

8364104 has 48 divisors (see below), whose sum is σ = 19220400. Its totient is φ = 3392928.

The previous prime is 8364101. The next prime is 8364107. The reversal of 8364104 is 4014638.

It is an interprime number because it is at equal distance from previous prime (8364101) and next prime (8364107).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8364101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6887 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (400425).

Almost surely, 28364104 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 8364104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610200).

8364104 is an abundant number, since it is smaller than the sum of its proper divisors (10856296).

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

8364104 is a wasteful number, since it uses less digits than its factorization.

8364104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 8364104 is about 2892.0760709221. The cubic root of 8364104 is about 202.9892978900.

The spelling of 8364104 in words is "eight million, three hundred sixty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1123 1862 2246 3724 4492 7448 7861 8984 15722 21337 31444 42674 55027 62888 85348 110054 149359 170696 220108 298718 440216 597436 1045513 1194872 2091026 4182052 8364104