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64340100 = 223252116797
BaseRepresentation
bin1111010101110…
…0000010000100
311111001211000200
43311130002010
5112432340400
610215010500
71410611316
oct365340204
9144054020
1064340100
1133355740
1219669a30
1310439586
14878b7b6
1559adb00
hex3d5c084

64340100 has 216 divisors, whose sum is σ = 225589728. Its totient is φ = 15206400.

The previous prime is 64340093. The next prime is 64340113. The reversal of 64340100 is 104346.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 663252 + ... + 663348.

Almost surely, 264340100 is an apocalyptic number.

64340100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112794864).

64340100 is an abundant number, since it is smaller than the sum of its proper divisors (161249628).

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

64340100 is a wasteful number, since it uses less digits than its factorization.

64340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 64340100 is about 8021.2280855241. The cubic root of 64340100 is about 400.7072902807.

Adding to 64340100 its reverse (104346), we get a palindrome (64444446).

The spelling of 64340100 in words is "sixty-four million, three hundred forty thousand, one hundred".