Search a number
-
+
4340120231400 = 23352197312974021
BaseRepresentation
bin111111001010000011010…
…100110001110111101000
3120100220121102220122122120
4333022003110301313220
51032102031234401100
613121453530551240
7625364140163232
oct77120324616750
916326542818576
104340120231400
1114236a87a65a8
125a1189598520
1325636b884c25
141100c49c9252
1577d6a9a00a0
hex3f283531de8

4340120231400 has 384 divisors, whose sum is σ = 14371146556800. Its totient is φ = 1080329011200.

The previous prime is 4340120231389. The next prime is 4340120231401. The reversal of 4340120231400 is 41320210434.

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

It is not an unprimeable number, because it can be changed into a prime (4340120231401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1079361390 + ... + 1079365410.

It is an arithmetic number, because the mean of its divisors is an integer number (37424860825).

Almost surely, 24340120231400 is an apocalyptic number.

4340120231400 is a gapful number since it is divisible by the number (40) 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 4340120231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185573278400).

4340120231400 is an abundant number, since it is smaller than the sum of its proper divisors (10031026325400).

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

4340120231400 is a wasteful number, since it uses less digits than its factorization.

4340120231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4340120231400 its reverse (41320210434), we get a palindrome (4381440441834).

The spelling of 4340120231400 in words is "four trillion, three hundred forty billion, one hundred twenty million, two hundred thirty-one thousand, four hundred".