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40233440 = 2551323292
BaseRepresentation
bin1001100101111…
…0100111100000
32210201001220102
42121132213200
540244432230
63554201532
7665656442
oct231364740
983631812
1040233440
112078aa85
12115832a8
138448b90
1454b4492
1537eb045
hex265e9e0

40233440 has 144 divisors (see below), whose sum is σ = 110623968. Its totient is φ = 13719552.

The previous prime is 40233409. The next prime is 40233449. The reversal of 40233440 is 4433204.

It is a happy number.

40233440 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (40233449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1387346 + ... + 1387374.

It is an arithmetic number, because the mean of its divisors is an integer number (768222).

Almost surely, 240233440 is an apocalyptic number.

40233440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55311984).

40233440 is an abundant number, since it is smaller than the sum of its proper divisors (70390528).

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

40233440 is a wasteful number, since it uses less digits than its factorization.

40233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 40233440 is about 6342.9835251244. The cubic root of 40233440 is about 342.6591939370.

Adding to 40233440 its reverse (4433204), we get a palindrome (44666644).

The spelling of 40233440 in words is "forty million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 29 32 40 46 52 58 65 80 92 104 115 116 130 145 160 184 208 230 232 260 290 299 368 377 416 460 464 520 580 598 667 736 754 841 920 928 1040 1160 1196 1334 1495 1508 1682 1840 1885 2080 2320 2392 2668 2990 3016 3335 3364 3680 3770 4205 4640 4784 5336 5980 6032 6670 6728 7540 8410 8671 9568 10672 10933 11960 12064 13340 13456 15080 16820 17342 19343 21344 21866 23920 26680 26912 30160 33640 34684 38686 43355 43732 47840 53360 54665 60320 67280 69368 77372 86710 87464 96715 106720 109330 134560 138736 154744 173420 174928 193430 218660 251459 277472 309488 346840 349856 386860 437320 502918 618976 693680 773720 874640 1005836 1257295 1387360 1547440 1749280 2011672 2514590 3094880 4023344 5029180 8046688 10058360 20116720 40233440