Search a number
-
+
339405000000 = 2635711317
BaseRepresentation
bin1001111000001100001…
…11010100110101000000
31012110001201101102200120
410330012013110311000
521030100140000000
6415530455020240
733343525620303
oct4740607246500
91173051342616
10339405000000
11120a39302000
125594206a680
132600c846361
14125da6a8b3a
158c66d146a0
hex4f061d4d40

339405000000 has 896 divisors, whose sum is σ = 1307302903296. Its totient is φ = 77440000000.

The previous prime is 339404999993. The next prime is 339405000001. The reversal of 339405000000 is 504933.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9350 × 8250 × 4400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339405000001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19964999992 + ... + 19965000008.

Almost surely, 2339405000000 is an apocalyptic number.

339405000000 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 339405000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653651451648).

339405000000 is an abundant number, since it is smaller than the sum of its proper divisors (967897903296).

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

339405000000 is an frugal number, since it uses more digits than its factorization.

339405000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 339405000000 its reverse (504933), we get a palindrome (339405504933).

The spelling of 339405000000 in words is "three hundred thirty-nine billion, four hundred five million", and thus it is an aban number.