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40304440 = 23511139659
BaseRepresentation
bin1001100110111…
…1111100111000
32210211200022001
42121233330320
540304220230
63555510344
7666403441
oct231577470
983750261
1040304440
1120829360
12115b83b4
1384722a7
1454d22c8
1538120ca
hex266ff38

40304440 has 64 divisors (see below), whose sum is σ = 99792000. Its totient is φ = 14528640.

The previous prime is 40304423. The next prime is 40304443. The reversal of 40304440 is 4440304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40304443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60831 + ... + 61489.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 240304440 is an apocalyptic number.

40304440 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 40304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896000).

40304440 is an abundant number, since it is smaller than the sum of its proper divisors (59487560).

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

40304440 is a wasteful number, since it uses less digits than its factorization.

40304440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 40304440 is about 6348.5777934904. The cubic root of 40304440 is about 342.8606391839.

Adding to 40304440 its reverse (4440304), we get a palindrome (44744744).

The spelling of 40304440 in words is "forty million, three hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 139 220 278 440 556 659 695 1112 1318 1390 1529 2636 2780 3058 3295 5272 5560 6116 6590 7249 7645 12232 13180 14498 15290 26360 28996 30580 36245 57992 61160 72490 91601 144980 183202 289960 366404 458005 732808 916010 1007611 1832020 2015222 3664040 4030444 5038055 8060888 10076110 20152220 40304440