Search a number
-
+
1033304240 = 245891031409
BaseRepresentation
bin111101100101101…
…111100010110000
32200000100021221102
4331211233202300
54104011213430
6250311143532
734414640543
oct7545574260
92600307842
101033304240
11490300851
1224a074ba8
131360cb137
149b33a85a
1560aae345
hex3d96f8b0

1033304240 has 80 divisors (see below), whose sum is σ = 2454753600. Its totient is φ = 404422656.

The previous prime is 1033304221. The next prime is 1033304257. The reversal of 1033304240 is 424033301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732656 + ... + 734064.

It is an arithmetic number, because the mean of its divisors is an integer number (30684420).

Almost surely, 21033304240 is an apocalyptic number.

1033304240 is a gapful number since it is divisible by the number (10) 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 1033304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227376800).

1033304240 is an abundant number, since it is smaller than the sum of its proper divisors (1421449360).

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

1033304240 is a wasteful number, since it uses less digits than its factorization.

1033304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1033304240 is about 32145.0500077384. The cubic root of 1033304240 is about 1010.9804027883.

Adding to 1033304240 its reverse (424033301), we get a palindrome (1457337541).

The spelling of 1033304240 in words is "one billion, thirty-three million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 103 178 206 356 412 445 515 712 824 890 1030 1409 1424 1648 1780 2060 2818 3560 4120 5636 7045 7120 8240 9167 11272 14090 18334 22544 28180 36668 45835 56360 73336 91670 112720 125401 145127 146672 183340 250802 290254 366680 501604 580508 627005 725635 733360 1003208 1161016 1254010 1451270 2006416 2322032 2508020 2902540 5016040 5805080 10032080 11610160 12916303 25832606 51665212 64581515 103330424 129163030 206660848 258326060 516652120 1033304240