Search a number
-
+
1243042320 = 2435132191613
BaseRepresentation
bin100101000010111…
…0101001000010000
310012122000002111110
41022011311020100
510021204323240
6323202413320
742542454042
oct11205651020
93178002443
101243042320
11588735103
122a8361240
1316a6b4a00
14bb135a92
15741ddc80
hex4a175210

1243042320 has 240 divisors, whose sum is σ = 4394986560. Its totient is φ = 289695744.

The previous prime is 1243042313. The next prime is 1243042349. The reversal of 1243042320 is 232403421.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769834 + ... + 771446.

It is an arithmetic number, because the mean of its divisors is an integer number (18312444).

Almost surely, 21243042320 is an apocalyptic number.

1243042320 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 1243042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197493280).

1243042320 is an abundant number, since it is smaller than the sum of its proper divisors (3151944240).

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

1243042320 is a wasteful number, since it uses less digits than its factorization.

1243042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1243042320 is about 35256.8053005374. The cubic root of 1243042320 is about 1075.2149762963.

Adding to 1243042320 its reverse (232403421), we get a palindrome (1475445741).

The spelling of 1243042320 in words is "one billion, two hundred forty-three million, forty-two thousand, three hundred twenty".