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40013304 = 2335383379
BaseRepresentation
bin1001100010100…
…0110111111000
32210021212221020
42120220313320
540220411204
63545342440
7664051602
oct230506770
983255836
1040013304
112064a651
1211497a20
13839c916
145458172
1537a5bd9
hex2628df8

40013304 has 64 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 12894336.

The previous prime is 40013299. The next prime is 40013327. The reversal of 40013304 is 40331004.

40013304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 105387 + ... + 105765.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 240013304 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 40013304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

40013304 is an abundant number, since it is smaller than the sum of its proper divisors (63407496).

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

40013304 is a wasteful number, since it uses less digits than its factorization.

40013304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 40013304 is about 6325.6070064461. The cubic root of 40013304 is about 342.0331009992.

Adding to 40013304 its reverse (40331004), we get a palindrome (80344308).

The spelling of 40013304 in words is "forty million, thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 83 106 159 166 212 249 318 332 379 424 498 636 664 758 996 1137 1272 1516 1992 2274 3032 4399 4548 8798 9096 13197 17596 20087 26394 31457 35192 40174 52788 60261 62914 80348 94371 105576 120522 125828 160696 188742 241044 251656 377484 482088 754968 1667221 3334442 5001663 6668884 10003326 13337768 20006652 40013304