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18340992 = 27342961
BaseRepresentation
bin100010111110…
…1110010000000
31021111211010000
41011331302000
514143402432
61453040000
7311616165
oct105756200
937454100
1018340992
11a39794a
126186000
133a52277
14261606c
15192457c
hex117dc80

18340992 has 160 divisors (see below), whose sum is σ = 57390300. Its totient is φ = 5806080.

The previous prime is 18340979. The next prime is 18341017. The reversal of 18340992 is 29904381.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 1498176 = 4104^2 + 1224^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 300642 + ... + 300702.

Almost surely, 218340992 is an apocalyptic number.

18340992 is a gapful number since it is divisible by the number (12) 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 18340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28695150).

18340992 is an abundant number, since it is smaller than the sum of its proper divisors (39049308).

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

18340992 is an equidigital number, since it uses as much as digits as its factorization.

18340992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 18340992 is about 4282.6384390934. The cubic root of 18340992 is about 263.7187086557.

The spelling of 18340992 in words is "eighteen million, three hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 61 64 72 81 87 96 108 116 122 128 144 162 174 183 192 216 232 244 261 288 324 348 366 384 432 464 488 522 549 576 648 696 732 783 864 928 976 1044 1098 1152 1296 1392 1464 1566 1647 1728 1769 1856 1952 2088 2196 2349 2592 2784 2928 3132 3294 3456 3538 3712 3904 4176 4392 4698 4941 5184 5307 5568 5856 6264 6588 7076 7808 8352 8784 9396 9882 10368 10614 11136 11712 12528 13176 14152 15921 16704 17568 18792 19764 21228 23424 25056 26352 28304 31842 33408 35136 37584 39528 42456 47763 50112 52704 56608 63684 70272 75168 79056 84912 95526 100224 105408 113216 127368 143289 150336 158112 169824 191052 210816 226432 254736 286578 300672 316224 339648 382104 509472 573156 632448 679296 764208 1018944 1146312 1528416 2037888 2292624 3056832 4585248 6113664 9170496 18340992