Search a number
-
+
1449349440 = 263572112801
BaseRepresentation
bin101011001100011…
…0101000101000000
310202000012120122220
41112120311011000
510432013140230
6355452331040
750626160400
oct12630650500
93660176586
101449349440
11684135760
12345473a80
131a1369a26
14da6ba800
1587391d10
hex56635140

1449349440 has 336 divisors, whose sum is σ = 5841699264. Its totient is φ = 301056000.

The previous prime is 1449349423. The next prime is 1449349453. The reversal of 1449349440 is 449439441.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×14493494402 = 4201227598456627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1449349392 and 1449349401.

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, 516040 + ... + 518840.

Almost surely, 21449349440 is an apocalyptic number.

1449349440 is a gapful number since it is divisible by the number (10) 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 1449349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920849632).

1449349440 is an abundant number, since it is smaller than the sum of its proper divisors (4392349824).

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

1449349440 is a wasteful number, since it uses less digits than its factorization.

1449349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 1449349440 is about 38070.3222996601. The cubic root of 1449349440 is about 1131.6818977414.

Subtracting from 1449349440 its reverse (449439441), we obtain a palindrome (999909999).

The spelling of 1449349440 in words is "one billion, four hundred forty-nine million, three hundred forty-nine thousand, four hundred forty".