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8394408 = 2333113533
BaseRepresentation
bin100000000001…
…011010101000
3120210110222000
4200001122220
54122110113
6455531000
7131231331
oct40013250
916713860
108394408
114813930
122989a60
13197bb09
141187288
15b0c373
hex8016a8

8394408 has 64 divisors (see below), whose sum is σ = 25444800. Its totient is φ = 2543040.

The previous prime is 8394403. The next prime is 8394433. The reversal of 8394408 is 8044938.

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

It is not an unprimeable number, because it can be changed into a prime (8394403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610 + ... + 4142.

It is an arithmetic number, because the mean of its divisors is an integer number (397575).

Almost surely, 28394408 is an apocalyptic number.

8394408 is a gapful number since it is divisible by the number (88) 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 8394408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722400).

8394408 is an abundant number, since it is smaller than the sum of its proper divisors (17050392).

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

8394408 is a wasteful number, since it uses less digits than its factorization.

8394408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8394408 is about 2897.3104769769. The cubic root of 8394408 is about 203.2341527111.

The spelling of 8394408 in words is "eight million, three hundred ninety-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 3533 7066 10599 14132 21198 28264 31797 38863 42396 63594 77726 84792 95391 116589 127188 155452 190782 233178 254376 310904 349767 381564 466356 699534 763128 932712 1049301 1399068 2098602 2798136 4197204 8394408