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1057346076 = 2231712894021
BaseRepresentation
bin111111000001011…
…101001000011100
32201200120202010210
4333001131020130
54131140033301
6252530332420
735126202423
oct7701351034
92650522123
101057346076
114a2931836
1225612a110
1313b098187
14a05d82ba
1562c5cad6
hex3f05d21c

1057346076 has 48 divisors (see below), whose sum is σ = 2614943520. Its totient is φ = 331376640.

The previous prime is 1057346063. The next prime is 1057346099. The reversal of 1057346076 is 6706437501.

1057346076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10573460763 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260946 + ... + 264966.

It is an arithmetic number, because the mean of its divisors is an integer number (54477990).

Almost surely, 21057346076 is an apocalyptic number.

It is an amenable number.

1057346076 is an abundant number, since it is smaller than the sum of its proper divisors (1557597444).

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

1057346076 is a wasteful number, since it uses less digits than its factorization.

1057346076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 1057346076 is about 32516.8583353312. The cubic root of 1057346076 is about 1018.7611757540.

The spelling of 1057346076 in words is "one billion, fifty-seven million, three hundred forty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 1289 2578 3867 4021 5156 7734 8042 12063 15468 16084 21913 24126 43826 48252 65739 68357 87652 131478 136714 205071 262956 273428 410142 820284 5183069 10366138 15549207 20732276 31098414 62196828 88112173 176224346 264336519 352448692 528673038 1057346076