Search a number
-
+
18681344 = 291131107
BaseRepresentation
bin100011101000…
…0111000000000
31022011002222122
41013100320000
514240300334
61504223412
7314534363
oct107207000
938132878
1018681344
11a5aa630
12630ab68
133b41166
1426a40da
15199032e
hex11d0e00

18681344 has 80 divisors (see below), whose sum is σ = 42425856. Its totient is φ = 8140800.

The previous prime is 18681343. The next prime is 18681349. The reversal of 18681344 is 44318681.

It is a super-2 number, since 2×186813442 = 697985227292672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18681343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174539 + ... + 174645.

Almost surely, 218681344 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 18681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

18681344 is an abundant number, since it is smaller than the sum of its proper divisors (23744512).

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

18681344 is a wasteful number, since it uses less digits than its factorization.

18681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 18681344 is about 4322.1920364556. The cubic root of 18681344 is about 265.3399884417.

The spelling of 18681344 in words is "eighteen million, six hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 107 124 128 176 214 248 256 341 352 428 496 512 682 704 856 992 1177 1364 1408 1712 1984 2354 2728 2816 3317 3424 3968 4708 5456 5632 6634 6848 7936 9416 10912 13268 13696 15872 18832 21824 26536 27392 36487 37664 43648 53072 54784 72974 75328 87296 106144 145948 150656 174592 212288 291896 301312 424576 583792 602624 849152 1167584 1698304 2335168 4670336 9340672 18681344