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40368328 = 2371113712
BaseRepresentation
bin1001100111111…
…1100011001000
32210221220221021
42121333203020
540313241303
64001122224
71000060630
oct231774310
983856837
1040368328
1120872360
1211629374
1384953b0
14550b6c0
153825ebd
hex267f8c8

40368328 has 96 divisors (see below), whose sum is σ = 103078080. Its totient is φ = 14313600.

The previous prime is 40368299. The next prime is 40368329. The reversal of 40368328 is 82386304.

It is a junction number, because it is equal to n+sod(n) for n = 40368293 and 40368302.

It is not an unprimeable number, because it can be changed into a prime (40368329) 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, 568533 + ... + 568603.

It is an arithmetic number, because the mean of its divisors is an integer number (1073730).

Almost surely, 240368328 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 40368328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51539040).

40368328 is an abundant number, since it is smaller than the sum of its proper divisors (62709752).

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

40368328 is a wasteful number, since it uses less digits than its factorization.

40368328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 40368328 is about 6353.6074792200. The cubic root of 40368328 is about 343.0417037410.

The spelling of 40368328 in words is "forty million, three hundred sixty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 71 77 88 91 104 142 143 154 182 284 286 308 364 497 568 572 616 728 781 923 994 1001 1144 1562 1846 1988 2002 3124 3692 3976 4004 5041 5467 6248 6461 7384 8008 10082 10153 10934 12922 20164 20306 21868 25844 35287 40328 40612 43736 51688 55451 65533 70574 71071 81224 110902 131066 141148 142142 221804 262132 282296 284284 388157 443608 458731 524264 568568 720863 776314 917462 1441726 1552628 1834924 2883452 3105256 3669848 5046041 5766904 10092082 20184164 40368328