Search a number
-
+
3440600064 = 2103611419
BaseRepresentation
bin1100110100010011…
…0110010000000000
322212210002121000000
43031010312100000
524021243200224
61325224000000
7151155421656
oct31504662000
98783077000
103440600064
111506146830
12800300000
1342aa6c835
14248d38dd6
151520c70c9
hexcd136400

3440600064 has 308 divisors, whose sum is σ = 11276349840. Its totient is φ = 1040117760.

The previous prime is 3440600039. The next prime is 3440600071. The reversal of 3440600064 is 4600060443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 8211247 + ... + 8211665.

Almost surely, 23440600064 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 3440600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638174920).

3440600064 is an abundant number, since it is smaller than the sum of its proper divisors (7835749776).

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

3440600064 is an equidigital number, since it uses as much as digits as its factorization.

3440600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3440600064 is about 58656.6284745382. The cubic root of 3440600064 is about 1509.6562327242.

The spelling of 3440600064 in words is "three billion, four hundred forty million, six hundred thousand, sixty-four".