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271430320 = 24571493253
BaseRepresentation
bin10000001011011…
…011001010110000
3200220202002101211
4100023123022300
51023441232240
642533405504
76504056020
oct2013331260
9626662354
10271430320
1112a240687
1276a99894
1344306b75
1428097a80
1518c68bea
hex102db2b0

271430320 has 80 divisors (see below), whose sum is σ = 726292800. Its totient is φ = 92408832.

The previous prime is 271430317. The next prime is 271430323. The reversal of 271430320 is 23034172.

It is an interprime number because it is at equal distance from previous prime (271430317) and next prime (271430323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 271430291 and 271430300.

It is not an unprimeable number, because it can be changed into a prime (271430323) 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, 81814 + ... + 85066.

It is an arithmetic number, because the mean of its divisors is an integer number (9078660).

Almost surely, 2271430320 is an apocalyptic number.

271430320 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 271430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363146400).

271430320 is an abundant number, since it is smaller than the sum of its proper divisors (454862480).

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

271430320 is a wasteful number, since it uses less digits than its factorization.

271430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3416 counting only the distinct ones).

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

The square root of 271430320 is about 16475.1424880029. The cubic root of 271430320 is about 647.4697053550.

Adding to 271430320 its reverse (23034172), we get a palindrome (294464492).

The spelling of 271430320 in words is "two hundred seventy-one million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 149 280 298 560 596 745 1043 1192 1490 2086 2384 2980 3253 4172 5215 5960 6506 8344 10430 11920 13012 16265 16688 20860 22771 26024 32530 41720 45542 52048 65060 83440 91084 113855 130120 182168 227710 260240 364336 455420 484697 910840 969394 1821680 1938788 2423485 3392879 3877576 4846970 6785758 7755152 9693940 13571516 16964395 19387880 27143032 33928790 38775760 54286064 67857580 135715160 271430320