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64345743 = 32711223367
BaseRepresentation
bin1111010101110…
…1011010001111
311111002002202200
43311131122033
5112433030433
610215052543
71410633630
oct365353217
9144062680
1064345743
1133359a00
1219671153
131043c007
14878d887
1559b0613
hex3d5d68f

64345743 has 72 divisors (see below), whose sum is σ = 122164224. Its totient is φ = 31885920.

The previous prime is 64345733. The next prime is 64345747. The reversal of 64345743 is 34754346.

It is a happy number.

64345743 is a `hidden beast` number, since 643 + 4 + 5 + 7 + 4 + 3 = 666.

It is not a de Polignac number, because 64345743 - 24 = 64345727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 64345698 and 64345707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64345747) 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 71 ways as a sum of consecutive naturals, for example, 175146 + ... + 175512.

Almost surely, 264345743 is an apocalyptic number.

64345743 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

64345743 is a deficient number, since it is larger than the sum of its proper divisors (57818481).

64345743 is a wasteful number, since it uses less digits than its factorization.

64345743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 64345743 is about 8021.5798319284. The cubic root of 64345743 is about 400.7190047228.

The spelling of 64345743 in words is "sixty-four million, three hundred forty-five thousand, seven hundred forty-three".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 121 161 207 231 253 363 367 483 693 759 847 1089 1101 1449 1771 2277 2541 2569 2783 3303 4037 5313 7623 7707 8349 8441 12111 15939 19481 23121 25047 25323 28259 36333 44407 58443 59087 75969 84777 92851 133221 175329 177261 254331 278553 310849 399663 531783 649957 835659 932547 1021361 1949871 2797641 3064083 5849613 7149527 9192249 21448581 64345743