Search a number
-
+
14302440 = 23335171941
BaseRepresentation
bin110110100011…
…110011101000
3222220122021000
4312203303220
512130134230
61230315000
7232366035
oct66436350
928818230
1014302440
1180896a9
124958a60
132c69ca9
141c8438c
1513c7b60
hexda3ce8

14302440 has 256 divisors, whose sum is σ = 54432000. Its totient is φ = 3317760.

The previous prime is 14302427. The next prime is 14302441. The reversal of 14302440 is 4420341.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14302441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348820 + ... + 348860.

It is an arithmetic number, because the mean of its divisors is an integer number (212625).

Almost surely, 214302440 is an apocalyptic number.

14302440 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 14302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

14302440 is an abundant number, since it is smaller than the sum of its proper divisors (40129560).

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

14302440 is a wasteful number, since it uses less digits than its factorization.

14302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14302440 is about 3781.8566868669. The cubic root of 14302440 is about 242.7374087652.

Adding to 14302440 its reverse (4420341), we get a palindrome (18722781).

The spelling of 14302440 in words is "fourteen million, three hundred two thousand, four hundred forty".