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646134240 = 253531173251
BaseRepresentation
bin100110100000110…
…011100111100000
31200000211000112210
4212200303213200
52310402243430
6144040522120
722004023203
oct4640634740
91600730483
10646134240
113017a9244
12160480340
13a3b2c56b
1461b5593a
153bad22b0
hex268339e0

646134240 has 192 divisors, whose sum is σ = 2121541632. Its totient is φ = 165120000.

The previous prime is 646134227. The next prime is 646134241. The reversal of 646134240 is 42431646.

It is a super-2 number, since 2×6461342402 = 834978912200755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 646134198 and 646134207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646134241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2574115 + ... + 2574365.

It is an arithmetic number, because the mean of its divisors is an integer number (11049696).

Almost surely, 2646134240 is an apocalyptic number.

646134240 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 646134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060770816).

646134240 is an abundant number, since it is smaller than the sum of its proper divisors (1475407392).

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

646134240 is a wasteful number, since it uses less digits than its factorization.

646134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 646134240 is about 25419.1707181804. The cubic root of 646134240 is about 864.5184217249.

Adding to 646134240 its reverse (42431646), we get a palindrome (688565886).

The spelling of 646134240 in words is "six hundred forty-six million, one hundred thirty-four thousand, two hundred forty".