Search a number
-
+
271993344 = 293741617
BaseRepresentation
bin10000001101100…
…100101000000000
3200221210200201120
4100031210220000
51024112241334
642553432240
76511622340
oct2015445000
9627720646
10271993344
1112a595697
127710b680
134447320c
14281a2d20
1518d2a949
hex10364a00

271993344 has 160 divisors (see below), whose sum is σ = 849695616. Its totient is φ = 75694080.

The previous prime is 271993343. The next prime is 271993427. The reversal of 271993344 is 443399172.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 271993296 and 271993305.

It is not an unprimeable number, because it can be changed into a prime (271993343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440524 + ... + 441140.

Almost surely, 2271993344 is an apocalyptic number.

271993344 is a gapful number since it is divisible by the number (24) 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 271993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424847808).

271993344 is an abundant number, since it is smaller than the sum of its proper divisors (577702272).

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

271993344 is an equidigital number, since it uses as much as digits as its factorization.

271993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 271993344 is about 16492.2207115961. The cubic root of 271993344 is about 647.9170751986.

The spelling of 271993344 in words is "two hundred seventy-one million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 512 574 617 656 672 768 861 896 984 1148 1234 1312 1344 1536 1722 1792 1851 1968 2296 2468 2624 2688 3444 3584 3702 3936 4319 4592 4936 5248 5376 6888 7404 7872 8638 9184 9872 10496 10752 12957 13776 14808 15744 17276 18368 19744 20992 25297 25914 27552 29616 31488 34552 36736 39488 50594 51828 55104 59232 62976 69104 73472 75891 78976 101188 103656 110208 118464 138208 146944 151782 157952 177079 202376 207312 220416 236928 276416 303564 315904 354158 404752 414624 440832 473856 531237 552832 607128 708316 809504 829248 947712 1062474 1105664 1214256 1416632 1619008 1658496 2124948 2211328 2428512 2833264 3238016 3316992 4249896 4857024 5666528 6476032 6633984 8499792 9714048 11333056 12952064 16999584 19428096 22666112 33999168 38856192 45332224 67998336 90664448 135996672 271993344