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40309440 = 2635199211
BaseRepresentation
bin1001100111000…
…1001011000000
32210211221011020
42121301023000
540304400230
63555545440
7666424143
oct231611300
983757136
1040309440
1120832096
12115bb280
138474652
1454d405a
153813810
hex26712c0

40309440 has 112 divisors (see below), whose sum is σ = 129235200. Its totient is φ = 10644480.

The previous prime is 40309439. The next prime is 40309453. The reversal of 40309440 is 4490304.

It is a super-2 number, since 2×403094402 = 3249701906227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40309440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190935 + ... + 191145.

Almost surely, 240309440 is an apocalyptic number.

40309440 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 40309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64617600).

40309440 is an abundant number, since it is smaller than the sum of its proper divisors (88925760).

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

40309440 is a wasteful number, since it uses less digits than its factorization.

40309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 40309440 is about 6348.9715702624. The cubic root of 40309440 is about 342.8748165493.

Adding to 40309440 its reverse (4490304), we get a palindrome (44799744).

The spelling of 40309440 in words is "forty million, three hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 199 211 240 320 398 422 480 597 633 796 844 960 995 1055 1194 1266 1592 1688 1990 2110 2388 2532 2985 3165 3184 3376 3980 4220 4776 5064 5970 6330 6368 6752 7960 8440 9552 10128 11940 12660 12736 13504 15920 16880 19104 20256 23880 25320 31840 33760 38208 40512 41989 47760 50640 63680 67520 83978 95520 101280 125967 167956 191040 202560 209945 251934 335912 419890 503868 629835 671824 839780 1007736 1259670 1343648 1679560 2015472 2519340 2687296 3359120 4030944 5038680 6718240 8061888 10077360 13436480 20154720 40309440