[go: up one dir, main page]

Search a number
-
+
2341141440 = 263511475389
BaseRepresentation
bin1000101110001010…
…1111101111000000
320001011021022022020
42023202233233000
514243313011230
61024150441440
7112005242151
oct21342575700
96034238266
102341141440
11aa1571240
12554063280
132b404b3c1
14182cdb928
15da7eb810
hex8b8afbc0

2341141440 has 448 divisors, whose sum is σ = 8532449280. Its totient is φ = 538869760.

The previous prime is 2341141399. The next prime is 2341141511. The reversal of 2341141440 is 441411432.

2341141440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2341141440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26304916 + ... + 26305004.

Almost surely, 22341141440 is an apocalyptic number.

2341141440 is a gapful number since it is divisible by the number (20) 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 2341141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266224640).

2341141440 is an abundant number, since it is smaller than the sum of its proper divisors (6191307840).

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

2341141440 is a wasteful number, since it uses less digits than its factorization.

2341141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2341141440 is about 48385.3432353228. The cubic root of 2341141440 is about 1327.8302270026.

Adding to 2341141440 its reverse (441411432), we get a palindrome (2782552872).

The spelling of 2341141440 in words is "two billion, three hundred forty-one million, one hundred forty-one thousand, four hundred forty".