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18342828 = 22337191277
BaseRepresentation
bin100010111111…
…0001110101100
31021111220122000
41011332032230
514143432303
61453052300
7311624430
oct105761654
937456560
1018342828
11a399269
126187090
133a5305a
1426169c0
151924da3
hex117e3ac

18342828 has 96 divisors (see below), whose sum is σ = 57254400. Its totient is φ = 4961088.

The previous prime is 18342817. The next prime is 18342851. The reversal of 18342828 is 82824381.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 18342792 and 18342801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13726 + ... + 15002.

It is an arithmetic number, because the mean of its divisors is an integer number (596400).

Almost surely, 218342828 is an apocalyptic number.

18342828 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 18342828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28627200).

18342828 is an abundant number, since it is smaller than the sum of its proper divisors (38911572).

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

18342828 is a wasteful number, since it uses less digits than its factorization.

18342828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 18342828 is about 4282.8527875705. The cubic root of 18342828 is about 263.7275080960.

The spelling of 18342828 in words is "eighteen million, three hundred forty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1277 1596 2052 2394 2554 3591 3831 4788 5108 7182 7662 8939 11493 14364 15324 17878 22986 24263 26817 34479 35756 45972 48526 53634 68958 72789 80451 97052 107268 137916 145578 160902 169841 218367 241353 291156 321804 339682 436734 482706 509523 655101 679364 873468 965412 1019046 1310202 1528569 2038092 2620404 3057138 4585707 6114276 9171414 18342828