Search a number
-
+
6940237344 = 253316734807
BaseRepresentation
bin1100111011010101…
…11001111000100000
3122220200021120211120
412131222321320200
5103203200043334
63104401212240
7333662021055
oct63552717040
918820246746
106940237344
112a41646047
121418331080
13867b10021
1449ba4102c
152a9461949
hex19dab9e20

6940237344 has 96 divisors (see below), whose sum is σ = 19087036416. Its totient is φ = 2205308160.

The previous prime is 6940237289. The next prime is 6940237349. The reversal of 6940237344 is 4437320496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6940237296 and 6940237305.

It is not an unprimeable number, because it can be changed into a prime (6940237349) by changing a digit.

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, 181989 + ... + 216795.

It is an arithmetic number, because the mean of its divisors is an integer number (198823296).

Almost surely, 26940237344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6940237344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9543518208).

6940237344 is an abundant number, since it is smaller than the sum of its proper divisors (12146799072).

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

6940237344 is a wasteful number, since it uses less digits than its factorization.

6940237344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34918 (or 34910 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 6940237344 is about 83308.0869063742. The cubic root of 6940237344 is about 1907.4717188695.

The spelling of 6940237344 in words is "six billion, nine hundred forty million, two hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 67 93 96 124 134 186 201 248 268 372 402 496 536 744 804 992 1072 1488 1608 2077 2144 2976 3216 4154 6231 6432 8308 12462 16616 24924 33232 34807 49848 66464 69614 99696 104421 139228 199392 208842 278456 417684 556912 835368 1079017 1113824 1670736 2158034 2332069 3237051 3341472 4316068 4664138 6474102 6996207 8632136 9328276 12948204 13992414 17264272 18656552 25896408 27984828 34528544 37313104 51792816 55969656 72294139 74626208 103585632 111939312 144588278 216882417 223878624 289176556 433764834 578353112 867529668 1156706224 1735059336 2313412448 3470118672 6940237344