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18321408 = 21232771
BaseRepresentation
bin100010111100…
…1000000000000
31021110211020200
41011321000000
514142241113
61452405200
7311505120
oct105710000
937424220
1018321408
11a384166
126176800
133a46391
14260cc80
15191d873
hex1179000

18321408 has 156 divisors (see below), whose sum is σ = 61334208. Its totient is φ = 5160960.

The previous prime is 18321389. The next prime is 18321419. The reversal of 18321408 is 80412381.

It is a super-2 number, since 2×183214082 = 671347982204928, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 258013 + ... + 258083.

It is an arithmetic number, because the mean of its divisors is an integer number (393168).

Almost surely, 218321408 is an apocalyptic number.

18321408 is a gapful number since it is divisible by the number (18) 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 18321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30667104).

18321408 is an abundant number, since it is smaller than the sum of its proper divisors (43012800).

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

18321408 is an equidigital number, since it uses as much as digits as its factorization.

18321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18321408 is about 4280.3513874447. The cubic root of 18321408 is about 263.6248113988.

Adding to 18321408 its reverse (80412381), we get a palindrome (98733789).

It can be divided in two parts, 1832 and 1408, that added together give a triangular number (3240 = T80).

The spelling of 18321408 in words is "eighteen million, three hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 71 72 84 96 112 126 128 142 144 168 192 213 224 252 256 284 288 336 384 426 448 497 504 512 568 576 639 672 768 852 896 994 1008 1024 1136 1152 1278 1344 1491 1536 1704 1792 1988 2016 2048 2272 2304 2556 2688 2982 3072 3408 3584 3976 4032 4096 4473 4544 4608 5112 5376 5964 6144 6816 7168 7952 8064 8946 9088 9216 10224 10752 11928 12288 13632 14336 15904 16128 17892 18176 18432 20448 21504 23856 27264 28672 31808 32256 35784 36352 36864 40896 43008 47712 54528 63616 64512 71568 72704 81792 86016 95424 109056 127232 129024 143136 145408 163584 190848 218112 254464 258048 286272 290816 327168 381696 436224 508928 572544 654336 763392 872448 1017856 1145088 1308672 1526784 2035712 2290176 2617344 3053568 4580352 6107136 9160704 18321408