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40003312 = 2417612411
BaseRepresentation
bin1001100010011…
…0011011110000
32210021101020011
42120212123300
540220101222
63545224304
7664010506
oct230463360
983241204
1040003312
1120643098
1211492094
1383981cb
145454676
1537a2c77
hex26266f0

40003312 has 40 divisors (see below), whose sum is σ = 83445552. Its totient is φ = 18508800.

The previous prime is 40003289. The next prime is 40003319. The reversal of 40003312 is 21330004.

It is a junction number, because it is equal to n+sod(n) for n = 40003292 and 40003301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40003319) 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, 15387 + ... + 17797.

Almost surely, 240003312 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 40003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41722776).

40003312 is an abundant number, since it is smaller than the sum of its proper divisors (43442240).

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

40003312 is a wasteful number, since it uses less digits than its factorization.

40003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 40003312 is about 6324.8171515072. The cubic root of 40003312 is about 342.0046281421.

Adding to 40003312 its reverse (21330004), we get a palindrome (61333316).

The spelling of 40003312 in words is "forty million, three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 2074 2411 4148 4822 8296 9644 16592 19288 38576 40987 81974 147071 163948 294142 327896 588284 655792 1176568 2353136 2500207 5000414 10000828 20001656 40003312