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40345220 = 22523229383
BaseRepresentation
bin1001100111100…
…1111010000100
32210220202020102
42121321322010
540312021340
64000423232
7666633356
oct231717204
983822212
1040345220
1120856a63
1211617b18
138487a16
1455030d6
15381e215
hex2679e84

40345220 has 48 divisors (see below), whose sum is σ = 89026560. Its totient is φ = 15328896.

The previous prime is 40345219. The next prime is 40345231. The reversal of 40345220 is 2254304.

40345220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40345192 and 40345201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105149 + ... + 105531.

It is an arithmetic number, because the mean of its divisors is an integer number (1854720).

Almost surely, 240345220 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 40345220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44513280).

40345220 is an abundant number, since it is smaller than the sum of its proper divisors (48681340).

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

40345220 is a wasteful number, since it uses less digits than its factorization.

40345220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 40345220 is about 6351.7887244461. The cubic root of 40345220 is about 342.9762355790.

Adding to 40345220 its reverse (2254304), we get a palindrome (42599524).

The spelling of 40345220 in words is "forty million, three hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 229 230 383 458 460 766 916 1145 1532 1915 2290 3830 4580 5267 7660 8809 10534 17618 21068 26335 35236 44045 52670 87707 88090 105340 175414 176180 350828 438535 877070 1754140 2017261 4034522 8069044 10086305 20172610 40345220