Search a number
-
+
1217001344 = 27137110301
BaseRepresentation
bin100100010001001…
…1111011110000000
310010211000001222212
41020202133132000
54443023020334
6320432321252
742105224606
oct11042373600
93124001885
101217001344
11574a69139
1229b6a3228
13165197a50
14b78b7876
1571c97ece
hex4889f780

1217001344 has 64 divisors (see below), whose sum is σ = 2648026080. Its totient is φ = 553728000.

The previous prime is 1217001343. The next prime is 1217001347. The reversal of 1217001344 is 4431007121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1217001343) 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 7 ways as a sum of consecutive naturals, for example, 112994 + ... + 123294.

Almost surely, 21217001344 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 1217001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324013040).

1217001344 is an abundant number, since it is smaller than the sum of its proper divisors (1431024736).

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

1217001344 is a wasteful number, since it uses less digits than its factorization.

1217001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1217001344 is about 34885.5463480221. The cubic root of 1217001344 is about 1067.6535602430.

Adding to 1217001344 its reverse (4431007121), we get a palindrome (5648008465).

The spelling of 1217001344 in words is "one billion, two hundred seventeen million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 284 416 568 832 923 1136 1664 1846 2272 3692 4544 7384 9088 10301 14768 20602 29536 41204 59072 82408 118144 133913 164816 267826 329632 535652 659264 731371 1071304 1318528 1462742 2142608 2925484 4285216 5850968 8570432 9507823 11701936 17140864 19015646 23403872 38031292 46807744 76062584 93615488 152125168 304250336 608500672 1217001344