Search a number
-
+
2340304464 = 243232374753
BaseRepresentation
bin1000101101111110…
…0011011001010000
320001002200210012010
42023133203121100
514243104220324
61024120502520
7111665155041
oct21337433120
96032623163
102340304464
11aa104a423
1255391aa40
132b3b17454
14182b608c8
15da6d3829
hex8b7e3650

2340304464 has 240 divisors, whose sum is σ = 6754067712. Its totient is φ = 697162752.

The previous prime is 2340304457. The next prime is 2340304489. The reversal of 2340304464 is 4644030432.

2340304464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44156662 + ... + 44156714.

Almost surely, 22340304464 is an apocalyptic number.

2340304464 is a gapful number since it is divisible by the number (24) 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 2340304464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377033856).

2340304464 is an abundant number, since it is smaller than the sum of its proper divisors (4413763248).

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

2340304464 is a wasteful number, since it uses less digits than its factorization.

2340304464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 2340304464 is about 48376.6933967174. The cubic root of 2340304464 is about 1327.6719716491.

Adding to 2340304464 its reverse (4644030432), we get a palindrome (6984334896).

The spelling of 2340304464 in words is "two billion, three hundred forty million, three hundred four thousand, four hundred sixty-four".