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1344431144 = 237231278219
BaseRepresentation
bin101000000100010…
…0110010000101000
310110200210011211002
41100020212100220
510223133244034
6341223454132
745213322220
oct12010462050
93420704732
101344431144
1162a995021
123162b7348
131856c36b4
14ca7a9080
157d069e7e
hex50226428

1344431144 has 64 divisors (see below), whose sum is σ = 3030220800. Its totient is φ = 546727104.

The previous prime is 1344431141. The next prime is 1344431147. The reversal of 1344431144 is 4411344431.

It is an interprime number because it is at equal distance from previous prime (1344431141) and next prime (1344431147).

It is not an unprimeable number, because it can be changed into a prime (1344431141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159467 + ... + 167685.

It is an arithmetic number, because the mean of its divisors is an integer number (47347200).

Almost surely, 21344431144 is an apocalyptic number.

1344431144 is a gapful number since it is divisible by the number (14) 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 1344431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515110400).

1344431144 is an abundant number, since it is smaller than the sum of its proper divisors (1685789656).

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

1344431144 is a wasteful number, since it uses less digits than its factorization.

1344431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382 (or 8378 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 1344431144 is about 36666.4852965211. The cubic root of 1344431144 is about 1103.6876632543.

Adding to 1344431144 its reverse (4411344431), we get a palindrome (5755775575).

The spelling of 1344431144 in words is "one billion, three hundred forty-four million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 127 161 184 254 322 508 644 889 1016 1288 1778 2921 3556 5842 7112 8219 11684 16438 20447 23368 32876 40894 57533 65752 81788 115066 163576 189037 230132 378074 460264 756148 1043813 1323259 1512296 2087626 2646518 4175252 5293036 7306691 8350504 10586072 14613382 24007699 29226764 48015398 58453528 96030796 168053893 192061592 336107786 672215572 1344431144