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3640426000 = 24531820213
BaseRepresentation
bin1101100011111100…
…0111111000010000
3100101201002210122121
43120333013320100
524423422113000
61401122544024
7156133052611
oct33077077020
910351083577
103640426000
1115a8a1aa32
12857208014
13460295833
142676b3c08
151648e9b1a
hexd8fc7e10

3640426000 has 40 divisors (see below), whose sum is σ = 8802554904. Its totient is φ = 1456169600.

The previous prime is 3640425983. The next prime is 3640426003. The reversal of 3640426000 is 6240463.

It can be written as a sum of positive squares in 4 ways, for example, as 862714384 + 2777711616 = 29372^2 + 52704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×36404260002 = 26505402922952000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3640426003) 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 7 ways as a sum of consecutive naturals, for example, 908107 + ... + 912106.

Almost surely, 23640426000 is an apocalyptic number.

It is an amenable number.

3640426000 is an abundant number, since it is smaller than the sum of its proper divisors (5162128904).

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

3640426000 is a wasteful number, since it uses less digits than its factorization.

3640426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820236 (or 1820220 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3640426000 is about 60335.9428533275. The cubic root of 3640426000 is about 1538.3343434586.

Adding to 3640426000 its reverse (6240463), we get a palindrome (3646666463).

The spelling of 3640426000 in words is "three billion, six hundred forty million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1820213 3640426 7280852 9101065 14561704 18202130 29123408 36404260 45505325 72808520 91010650 145617040 182021300 227526625 364042600 455053250 728085200 910106500 1820213000 3640426000