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1640353341 = 311175949559
BaseRepresentation
bin110000111000101…
…1100111000111101
311020022121120202110
41201301130320331
511324412301331
6430434244233
755435526154
oct14161347075
94208546673
101640353341
11771a33820
12399426679
13201ac43a3
14117bda59b
1599020946
hex61c5ce3d

1640353341 has 32 divisors (see below), whose sum is σ = 2569190400. Its totient is φ = 919796480.

The previous prime is 1640353333. The next prime is 1640353349. The reversal of 1640353341 is 1433530461.

It is an interprime number because it is at equal distance from previous prime (1640353333) and next prime (1640353349).

It is a cyclic number.

It is not a de Polignac number, because 1640353341 - 23 = 1640353333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1640353299 and 1640353308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640353349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8320 + ... + 57878.

It is an arithmetic number, because the mean of its divisors is an integer number (80287200).

Almost surely, 21640353341 is an apocalyptic number.

1640353341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1640353341 is a deficient number, since it is larger than the sum of its proper divisors (928837059).

1640353341 is a wasteful number, since it uses less digits than its factorization.

1640353341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49649.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1640353341 is about 40501.2757947203. The cubic root of 1640353341 is about 1179.3583941383.

The spelling of 1640353341 in words is "one billion, six hundred forty million, three hundred fifty-three thousand, three hundred forty-one".

Divisors: 1 3 11 17 33 51 59 177 187 561 649 1003 1947 3009 11033 33099 49559 148677 545149 842503 1635447 2527509 2923981 8771943 9267533 27802599 32163791 49707677 96491373 149123031 546784447 1640353341