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350000640 = 29325111381
BaseRepresentation
bin10100110111001…
…001011000000000
3220101120212121200
4110313021120000
51204100010030
654421421200
711446646013
oct2467113000
9811525550
10350000640
1116a625730
129926a800
1357686592
14346ab37a
1520ad8d60
hex14dc9600

350000640 has 240 divisors, whose sum is σ = 1323303696. Its totient is φ = 84787200.

The previous prime is 350000627. The next prime is 350000659. The reversal of 350000640 is 46000053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 252750 + ... + 254130.

Almost surely, 2350000640 is an apocalyptic number.

350000640 is a gapful number since it is divisible by the number (30) 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 350000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661651848).

350000640 is an abundant number, since it is smaller than the sum of its proper divisors (973303056).

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

350000640 is a wasteful number, since it uses less digits than its factorization.

350000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 350000640 is about 18708.3040385814. The cubic root of 350000640 is about 704.7303027559.

Adding to 350000640 its reverse (46000053), we get a palindrome (396000693).

The spelling of 350000640 in words is "three hundred fifty million, six hundred forty", and thus it is an aban number.