Search a number
-
+
411224040 = 2335542307
BaseRepresentation
bin11000100000101…
…100011111101000
31001122210100100000
4120200230133220
51320233132130
6104445543000
713122226623
oct3040543750
91048710300
10411224040
111a1141787
12b5874a60
1367271346
143c886dba
152617e260
hex1882c7e8

411224040 has 96 divisors (see below), whose sum is σ = 1386010080. Its totient is φ = 109657152.

The previous prime is 411224003. The next prime is 411224069. The reversal of 411224040 is 40422114.

It is a super-2 number, since 2×4112240402 = 338210422147843200, 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11434 + ... + 30873.

It is an arithmetic number, because the mean of its divisors is an integer number (14437605).

Almost surely, 2411224040 is an apocalyptic number.

411224040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411224040 is an abundant number, since it is smaller than the sum of its proper divisors (974786040).

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

411224040 is a wasteful number, since it uses less digits than its factorization.

411224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42333 (or 42317 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 411224040 is about 20278.6597190248. The cubic root of 411224040 is about 743.6344458096.

Adding to 411224040 its reverse (40422114), we get a palindrome (451646154).

The spelling of 411224040 in words is "four hundred eleven million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 42307 84614 126921 169228 211535 253842 338456 380763 423070 507684 634605 761526 846140 1015368 1142289 1269210 1523052 1692280 1903815 2284578 2538420 3046104 3426867 3807630 4569156 5076840 5711445 6853734 7615260 9138312 10280601 11422890 13707468 15230520 17134335 20561202 22845780 27414936 34268670 41122404 45691560 51403005 68537340 82244808 102806010 137074680 205612020 411224040