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40331304 = 23331353271
BaseRepresentation
bin1001100111011…
…0100000101000
32210220001011000
42121312200220
540311100204
64000235000
7666544656
oct231664050
983801130
1040331304
1120847562
121160ba60
1384815a0
1454dbdd6
15381a039
hex2676828

40331304 has 128 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 12130560.

The previous prime is 40331297. The next prime is 40331323. The reversal of 40331304 is 40313304.

It is a super-2 number, since 2×403313042 = 3253228164680832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148689 + ... + 148959.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 240331304 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 40331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

40331304 is an abundant number, since it is smaller than the sum of its proper divisors (83047896).

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

40331304 is a wasteful number, since it uses less digits than its factorization.

40331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 40331304 is about 6350.6931905108. The cubic root of 40331304 is about 342.9367975641.

Adding to 40331304 its reverse (40313304), we get a palindrome (80644608).

The spelling of 40331304 in words is "forty million, three hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 117 156 159 212 216 234 271 312 318 351 424 468 477 542 636 689 702 813 936 954 1084 1272 1378 1404 1431 1626 1908 2067 2168 2439 2756 2808 2862 3252 3523 3816 4134 4878 5512 5724 6201 6504 7046 7317 8268 9756 10569 11448 12402 14092 14363 14634 16536 18603 19512 21138 24804 28184 28726 29268 31707 37206 42276 43089 49608 57452 58536 63414 74412 84552 86178 95121 114904 126828 129267 148824 172356 186719 190242 253656 258534 344712 373438 380484 387801 517068 560157 746876 760968 775602 1034136 1120314 1493752 1551204 1680471 2240628 3102408 3360942 4481256 5041413 6721884 10082826 13443768 20165652 40331304