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1057346271 = 33237123981
BaseRepresentation
bin111111000001011…
…101001011011111
32201200120202102000
4333001131023133
54131140040041
6252530333343
735126203122
oct7701351337
92650522360
101057346271
114a29319a3
1225612a253
1313b0982a7
14a05d83b9
1562c5cbb6
hex3f05d2df

1057346271 has 32 divisors (see below), whose sum is σ = 1657635840. Its totient is φ = 664725600.

The previous prime is 1057346267. The next prime is 1057346273. The reversal of 1057346271 is 1726437501.

It is a happy number.

1057346271 is a `hidden beast` number, since 10 + 573 + 4 + 6 + 2 + 71 = 666.

It is not a de Polignac number, because 1057346271 - 22 = 1057346267 is a prime.

It is a super-2 number, since 2×10573462712 = 2235962273595210882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057346273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32101 + ... + 56081.

It is an arithmetic number, because the mean of its divisors is an integer number (51801120).

Almost surely, 21057346271 is an apocalyptic number.

1057346271 is a deficient number, since it is larger than the sum of its proper divisors (600289569).

1057346271 is a wasteful number, since it uses less digits than its factorization.

1057346271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24084 (or 24078 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1057346271 is about 32516.8613337757. The cubic root of 1057346271 is about 1018.7612383821.

The spelling of 1057346271 in words is "one billion, fifty-seven million, three hundred forty-six thousand, two hundred seventy-one".

Divisors: 1 3 9 23 27 69 71 207 213 621 639 1633 1917 4899 14697 23981 44091 71943 215829 551563 647487 1654689 1702651 4964067 5107953 14892201 15323859 39160973 45971577 117482919 352448757 1057346271