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1144034304 = 2103753201
BaseRepresentation
bin100010000110000…
…1001010000000000
32221201200222000220
41010030021100000
54320333044204
6305304343040
740231062660
oct10414112000
92851628026
101144034304
115378609a6
1227b174a80
1315302a89a
14abd221a0
156a6831d9
hex44309400

1144034304 has 88 divisors (see below), whose sum is σ = 3484943808. Its totient is φ = 326860800.

The previous prime is 1144034303. The next prime is 1144034317. The reversal of 1144034304 is 4034304411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144034303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5097 + ... + 48104.

Almost surely, 21144034304 is an apocalyptic number.

1144034304 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 1144034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742471904).

1144034304 is an abundant number, since it is smaller than the sum of its proper divisors (2340909504).

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

1144034304 is an equidigital number, since it uses as much as digits as its factorization.

1144034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53231 (or 53213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1144034304 is about 33823.5761562848. The cubic root of 1144034304 is about 1045.8747600139.

Adding to 1144034304 its reverse (4034304411), we get a palindrome (5178338715).

The spelling of 1144034304 in words is "one billion, one hundred forty-four million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 53201 106402 159603 212804 319206 372407 425608 638412 744814 851216 1117221 1276824 1489628 1702432 2234442 2553648 2979256 3404864 4468884 5107296 5958512 6809728 8937768 10214592 11917024 13619456 17875536 20429184 23834048 27238912 35751072 40858368 47668096 54477824 71502144 81716736 95336192 143004288 163433472 190672384 286008576 381344768 572017152 1144034304