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7346540357 = 13253820201
BaseRepresentation
bin1101101011110001…
…10100111101000101
3200221222210220210022
412311320310331011
5110021203242412
63212553504525
7350024364002
oct66570647505
920858726708
107346540357
11312aa26562
121510412145
1390104a500
144d99a68a9
152cee6ca72
hex1b5e34f45

7346540357 has 12 divisors (see below), whose sum is σ = 8105236164. Its totient is φ = 6653462400.

The previous prime is 7346540339. The next prime is 7346540381. The reversal of 7346540357 is 7530456437.

It can be written as a sum of positive squares in 6 ways, for example, as 164836 + 7346375521 = 406^2 + 85711^2 .

It is not a de Polignac number, because 7346540357 - 212 = 7346536261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7346540317) 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 11 ways as a sum of consecutive naturals, for example, 401144 + ... + 419057.

It is an arithmetic number, because the mean of its divisors is an integer number (675436347).

Almost surely, 27346540357 is an apocalyptic number.

It is an amenable number.

7346540357 is a deficient number, since it is larger than the sum of its proper divisors (758695807).

7346540357 is a wasteful number, since it uses less digits than its factorization.

7346540357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820280 (or 820267 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 44.

The square root of 7346540357 is about 85711.9615748000. The cubic root of 7346540357 is about 1943.9911772202.

The spelling of 7346540357 in words is "seven billion, three hundred forty-six million, five hundred forty thousand, three hundred fifty-seven".

Divisors: 1 13 53 169 689 8957 820201 10662613 43470653 138613969 565118489 7346540357