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271034320 = 24516720287
BaseRepresentation
bin10000001001111…
…010011111010000
3200212222222012011
4100021322133100
51023341044240
642521112304
76500516344
oct2011723720
9625888164
10271034320
11129aa0107
1276928694
13441c884b
1427dd3624
1518bdb6ea
hex1027a7d0

271034320 has 40 divisors (see below), whose sum is σ = 633959424. Its totient is φ = 107759232.

The previous prime is 271034299. The next prime is 271034341. The reversal of 271034320 is 23430172.

It is an interprime number because it is at equal distance from previous prime (271034299) and next prime (271034341).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 271034291 and 271034300.

It is a congruent number.

It is an unprimeable number.

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, 3217 + ... + 23503.

Almost surely, 2271034320 is an apocalyptic number.

271034320 is a gapful number since it is divisible by the number (20) 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 271034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316979712).

271034320 is an abundant number, since it is smaller than the sum of its proper divisors (362925104).

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

271034320 is a wasteful number, since it uses less digits than its factorization.

271034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20467 (or 20461 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 271034320 is about 16463.1199959181. The cubic root of 271034320 is about 647.1546793917.

Adding to 271034320 its reverse (23430172), we get a palindrome (294464492).

The spelling of 271034320 in words is "two hundred seventy-one million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 20287 40574 81148 101435 162296 202870 324592 405740 811480 1622960 3387929 6775858 13551716 16939645 27103432 33879290 54206864 67758580 135517160 271034320