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10343664 = 2432109659
BaseRepresentation
bin100111011101…
…010011110000
3201110111211200
4213131103300
510121444124
61005411200
7153630312
oct47352360
921414750
1010343664
115925391
123569b00
1321b2116
1415337b2
15d94bc9
hex9dd4f0

10343664 has 60 divisors (see below), whose sum is σ = 29257800. Its totient is φ = 3411072.

The previous prime is 10343659. The next prime is 10343687. The reversal of 10343664 is 46634301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15367 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (487630).

Almost surely, 210343664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628900).

10343664 is an abundant number, since it is smaller than the sum of its proper divisors (18914136).

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

10343664 is a wasteful number, since it uses less digits than its factorization.

10343664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 10343664 is about 3216.1567125997. The cubic root of 10343664 is about 217.8837300476.

Adding to 10343664 its reverse (46634301), we get a palindrome (56977965).

The spelling of 10343664 in words is "ten million, three hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 659 872 981 1308 1318 1744 1962 1977 2616 2636 3924 3954 5232 5272 5931 7848 7908 10544 11862 15696 15816 23724 31632 47448 71831 94896 143662 215493 287324 430986 574648 646479 861972 1149296 1292958 1723944 2585916 3447888 5171832 10343664