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1242169344 = 2173613
BaseRepresentation
bin100101000001010…
…0000000000000000
310012120100202000000
41022002200000000
510020443404334
6323132000000
742532156653
oct11202400000
93176322000
101242169344
11588199239
122a8000000
1316a46a560
14bad8989a
15740ba299
hex4a0a0000

1242169344 has 252 divisors, whose sum is σ = 4011312186. Its totient is φ = 382205952.

The previous prime is 1242169319. The next prime is 1242169393. The reversal of 1242169344 is 4439612421.

It can be written as a sum of positive squares in only one way, i.e., 1194393600 + 47775744 = 34560^2 + 6912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (41472) is a multiple of the sum of its prime divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 1242169299 and 1242169308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 95551482 + ... + 95551494.

Almost surely, 21242169344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005656093).

1242169344 is an abundant number, since it is smaller than the sum of its proper divisors (2769142842).

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

1242169344 is an frugal number, since it uses more digits than its factorization.

1242169344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 18 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1242169344 is about 35244.4228779533. The cubic root of 1242169344 is about 1074.9632131634.

The spelling of 1242169344 in words is "one billion, two hundred forty-two million, one hundred sixty-nine thousand, three hundred forty-four".