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18421344 = 253523103
BaseRepresentation
bin100011001000…
…1011001100000
31021122220100000
41012101121200
514203440334
61454500000
7312402354
oct106213140
937586300
1018421344
11a442257
126204600
133a7ca06
142637464
15193d299
hex1191660

18421344 has 144 divisors (see below), whose sum is σ = 57238272. Its totient is φ = 5816448.

The previous prime is 18421343. The next prime is 18421349. The reversal of 18421344 is 44312481.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18421343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178797 + ... + 178899.

It is an arithmetic number, because the mean of its divisors is an integer number (397488).

Almost surely, 218421344 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 18421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28619136).

18421344 is an abundant number, since it is smaller than the sum of its proper divisors (38816928).

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

18421344 is a wasteful number, since it uses less digits than its factorization.

18421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 18421344 is about 4292.0093196544. The cubic root of 18421344 is about 264.1032653869.

It can be divided in two parts, 184 and 21344, that added together give a triangular number (21528 = T207).

The spelling of 18421344 in words is "eighteen million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 103 108 138 144 162 184 206 207 216 243 276 288 309 324 368 412 414 432 486 552 618 621 648 736 824 828 864 927 972 1104 1236 1242 1296 1648 1656 1854 1863 1944 2208 2369 2472 2484 2592 2781 3296 3312 3708 3726 3888 4738 4944 4968 5562 5589 6624 7107 7416 7452 7776 8343 9476 9888 9936 11124 11178 14214 14832 14904 16686 18952 19872 21321 22248 22356 25029 28428 29664 29808 33372 37904 42642 44496 44712 50058 56856 59616 63963 66744 75808 85284 88992 89424 100116 113712 127926 133488 170568 178848 191889 200232 227424 255852 266976 341136 383778 400464 511704 575667 682272 767556 800928 1023408 1151334 1535112 2046816 2302668 3070224 4605336 6140448 9210672 18421344