Search a number
-
+
1394282064 = 243721734871
BaseRepresentation
bin101001100011011…
…0000111001010000
310121011120212102110
41103012300321100
510323414011224
6350204145320
746360126200
oct12306607120
93534525373
101394282064
1165604382a
1232ab38240
13192b28c96
14d3264400
1582615929
hex531b0e50

1394282064 has 120 divisors (see below), whose sum is σ = 4436555328. Its totient is φ = 374922240.

The previous prime is 1394282059. The next prime is 1394282069. The reversal of 1394282064 is 4602824931.

It is an interprime number because it is at equal distance from previous prime (1394282059) and next prime (1394282069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1394282069) by changing a digit.

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, 22549 + ... + 57419.

Almost surely, 21394282064 is an apocalyptic number.

1394282064 is a gapful number since it is divisible by the number (14) 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 1394282064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218277664).

1394282064 is an abundant number, since it is smaller than the sum of its proper divisors (3042273264).

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

1394282064 is a wasteful number, since it uses less digits than its factorization.

1394282064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34913 (or 34900 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1394282064 is about 37340.0865558718. The cubic root of 1394282064 is about 1117.1638658924.

The spelling of 1394282064 in words is "one billion, three hundred ninety-four million, two hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2856 3332 4998 5712 6664 9996 13328 19992 34871 39984 69742 104613 139484 209226 244097 278968 418452 488194 557936 592807 732291 836904 976388 1185614 1464582 1673808 1708679 1778421 1952776 2371228 2929164 3417358 3556842 3905552 4149649 4742456 5126037 5858328 6834716 7113684 8299298 9484912 10252074 11716656 12448947 13669432 14227368 16598596 20504148 24897894 27338864 28454736 29047543 33197192 41008296 49795788 58095086 66394384 82016592 87142629 99591576 116190172 174285258 199183152 232380344 348570516 464760688 697141032 1394282064