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271069344 = 253271310343
BaseRepresentation
bin10000001010000…
…011000010100000
3200220001202020100
4100022003002200
51023343204334
642521542400
76501023430
oct2012030240
9626052210
10271069344
1112a014457
1276944a00
134420b780
14280022c0
1518be6c99
hex102830a0

271069344 has 144 divisors (see below), whose sum is σ = 948834432. Its totient is φ = 71483904.

The previous prime is 271069343. The next prime is 271069349. The reversal of 271069344 is 443960172.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 271069299 and 271069308.

It is not an unprimeable number, because it can be changed into a prime (271069343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21037 + ... + 31379.

It is an arithmetic number, because the mean of its divisors is an integer number (6589128).

Almost surely, 2271069344 is an apocalyptic number.

271069344 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 271069344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474417216).

271069344 is an abundant number, since it is smaller than the sum of its proper divisors (677765088).

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

271069344 is a wasteful number, since it uses less digits than its factorization.

271069344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 271069344 is about 16464.1836724449. The cubic root of 271069344 is about 647.1825540526.

The spelling of 271069344 in words is "two hundred seventy-one million, sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 10343 13104 20686 26208 31029 41372 62058 72401 82744 93087 124116 134459 144802 165488 186174 217203 248232 268918 289604 330976 372348 403377 434406 496464 537836 579208 651609 744696 806754 868812 941213 992928 1075672 1158416 1210131 1303218 1489392 1613508 1737624 1882426 2151344 2316832 2420262 2606436 2823639 2978784 3227016 3475248 3764852 4302688 4840524 5212872 5647278 6454032 6950496 7529704 8470917 9681048 10425744 11294556 12908064 15059408 16941834 19362096 20851488 22589112 30118816 33883668 38724192 45178224 67767336 90356448 135534672 271069344