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40303440 = 2433547397
BaseRepresentation
bin1001100110111…
…1101101010000
32210211121221000
42121233231100
540304202230
63555502000
7666400512
oct231575520
983747830
1040303440
1120828631
12115b7900
1384719b8
1454d1bb2
153811b60
hex266fb50

40303440 has 160 divisors (see below), whose sum is σ = 142133760. Its totient is φ = 10492416.

The previous prime is 40303433. The next prime is 40303453. The reversal of 40303440 is 4430304.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101322 + ... + 101718.

It is an arithmetic number, because the mean of its divisors is an integer number (888336).

Almost surely, 240303440 is an apocalyptic number.

40303440 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 40303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71066880).

40303440 is an abundant number, since it is smaller than the sum of its proper divisors (101830320).

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

40303440 is a wasteful number, since it uses less digits than its factorization.

40303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 40303440 is about 6348.4990352051. The cubic root of 40303440 is about 342.8578035702.

Adding to 40303440 its reverse (4430304), we get a palindrome (44733744).

The spelling of 40303440 in words is "forty million, three hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 360 376 397 423 432 470 540 564 705 720 752 794 846 940 1080 1128 1191 1269 1410 1588 1692 1880 1985 2115 2160 2256 2382 2538 2820 3176 3384 3573 3760 3970 4230 4764 5076 5640 5955 6345 6352 6768 7146 7940 8460 9528 10152 10719 11280 11910 12690 14292 15880 16920 17865 18659 19056 20304 21438 23820 25380 28584 31760 33840 35730 37318 42876 47640 50760 53595 55977 57168 71460 74636 85752 93295 95280 101520 107190 111954 142920 149272 167931 171504 186590 214380 223908 279885 285840 298544 335862 373180 428760 447816 503793 559770 671724 746360 839655 857520 895632 1007586 1119540 1343448 1492720 1679310 2015172 2239080 2518965 2686896 3358620 4030344 4478160 5037930 6717240 8060688 10075860 13434480 20151720 40303440