Search a number
-
+
4034303040 = 263523182713
BaseRepresentation
bin1111000001110110…
…1001010001000000
3101102011020211101010
43300131221101000
531230240144130
61504153040520
7201655003305
oct36035512100
911364224333
104034303040
111790293649
129470b6140
134c3a72181
142a3b230ac
1518929e0b0
hexf0769440

4034303040 has 112 divisors (see below), whose sum is σ = 13365894528. Its totient is φ = 1029033984.

The previous prime is 4034303023. The next prime is 4034303087. The reversal of 4034303040 is 403034304.

It is a junction number, because it is equal to n+sod(n) for n = 4034302998 and 4034303016.

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 15 ways as a sum of consecutive naturals, for example, 69277 + ... + 113436.

It is an arithmetic number, because the mean of its divisors is an integer number (119338344).

Almost surely, 24034303040 is an apocalyptic number.

4034303040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034303040 is an abundant number, since it is smaller than the sum of its proper divisors (9331591488).

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

4034303040 is a wasteful number, since it uses less digits than its factorization.

4034303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182756 (or 182746 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 4034303040 is about 63516.1636121074. The cubic root of 4034303040 is about 1591.9258654232.

Adding to 4034303040 its reverse (403034304), we get a palindrome (4437337344).

The spelling of 4034303040 in words is "four billion, thirty-four million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 22080 182713 365426 548139 730852 913565 1096278 1461704 1827130 2192556 2740695 2923408 3654260 4202399 4385112 5481390 5846816 7308520 8404798 8770224 10962780 11693632 12607197 14617040 16809596 17540448 21011995 21925560 25214394 29234080 33619192 35080896 42023990 43851120 50428788 58468160 63035985 67238384 84047980 87702240 100857576 126071970 134476768 168095960 175404480 201715152 252143940 268953536 336191920 403430304 504287880 672383840 806860608 1008575760 1344767680 2017151520 4034303040