Search a number
-
+
33740337040 = 245676294839
BaseRepresentation
bin11111011011000101…
…001010111110010000
310020002102101201012121
4133123011022332100
51023100011241130
623300004304024
72303055063364
oct373305127620
9106072351177
1033740337040
11133445a4673
1266576a2014
13324926ca97
1418c10c92a4
15d271abd7a
hex7db14af90

33740337040 has 40 divisors (see below), whose sum is σ = 79617136320. Its totient is φ = 13294697856.

The previous prime is 33740337023. The next prime is 33740337041. The reversal of 33740337040 is 4073304733.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×337403370402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33740336987 and 33740337005.

It is not an unprimeable number, because it can be changed into a prime (33740337041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3142060 + ... + 3152779.

It is an arithmetic number, because the mean of its divisors is an integer number (1990428408).

Almost surely, 233740337040 is an apocalyptic number.

It is an amenable number.

33740337040 is an abundant number, since it is smaller than the sum of its proper divisors (45876799280).

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

33740337040 is a wasteful number, since it uses less digits than its factorization.

33740337040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294919 (or 6294913 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 34.

The spelling of 33740337040 in words is "thirty-three billion, seven hundred forty million, three hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 6294839 12589678 25179356 31474195 50358712 62948390 100717424 125896780 251793560 421754213 503587120 843508426 1687016852 2108771065 3374033704 4217542130 6748067408 8435084260 16870168520 33740337040