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271325340 = 22325111383127
BaseRepresentation
bin10000001011000…
…001100010011100
3200220112202101200
4100023001202130
51023424402330
642531235500
76503140656
oct2013014234
9626482350
10271325340
1112a179820
1276a48b90
134429b150
142806b6d6
1518c47a60
hex102c189c

271325340 has 288 divisors, whose sum is σ = 986259456. Its totient is φ = 59512320.

The previous prime is 271325309. The next prime is 271325429. The reversal of 271325340 is 43523172.

It is a super-2 number, since 2×2713253402 = 147234880252231200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2136357 + ... + 2136483.

It is an arithmetic number, because the mean of its divisors is an integer number (3424512).

Almost surely, 2271325340 is an apocalyptic number.

271325340 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 271325340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493129728).

271325340 is an abundant number, since it is smaller than the sum of its proper divisors (714934116).

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

271325340 is a wasteful number, since it uses less digits than its factorization.

271325340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 271325340 is about 16471.9561679844. The cubic root of 271325340 is about 647.3862215171.

The spelling of 271325340 in words is "two hundred seventy-one million, three hundred twenty-five thousand, three hundred forty".