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8074320 = 2435171979
BaseRepresentation
bin11110110011010001010000
3120012012212220
4132303101100
54031334240
6445021040
7125426202
oct36632120
916165786
108074320
1146153a1
122854780
131899207
141102772
15a975d0
hex7b3450

8074320 has 80 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 2025472.

The previous prime is 8074309. The next prime is 8074349. The reversal of 8074320 is 234708.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3091 + ... + 5069.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 28074320 is an apocalyptic number.

8074320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8074320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

8074320 is an abundant number, since it is smaller than the sum of its proper divisors (18441840).

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

8074320 is a wasteful number, since it uses less digits than its factorization.

8074320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 8074320 is about 2841.5347965492. The cubic root of 8074320 is about 200.6174253019.

The spelling of 8074320 in words is "eight million, seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 1979 2040 3958 4080 5937 7916 9895 11874 15832 19790 23748 29685 31664 33643 39580 47496 59370 67286 79160 94992 100929 118740 134572 158320 168215 201858 237480 269144 336430 403716 474960 504645 538288 672860 807432 1009290 1345720 1614864 2018580 2691440 4037160 8074320