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1144334304 = 25341492963
BaseRepresentation
bin100010000110101…
…0010011111100000
32221202021012120000
41010031102133200
54320422144204
6305315020000
740233452421
oct10415223740
92852235500
101144334304
11537a46333
1227b29a600
131531042b9
14abd9d648
156a6e2039
hex443527e0

1144334304 has 120 divisors (see below), whose sum is σ = 3389185800. Its totient is φ = 378756864.

The previous prime is 1144334273. The next prime is 1144334357. The reversal of 1144334304 is 4034334411.

It is a super-2 number, since 2×11443343042 = 2619001998622328832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 384727 + ... + 387689.

It is an arithmetic number, because the mean of its divisors is an integer number (28243215).

Almost surely, 21144334304 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 1144334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694592900).

1144334304 is an abundant number, since it is smaller than the sum of its proper divisors (2244851496).

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

1144334304 is a wasteful number, since it uses less digits than its factorization.

1144334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1144334304 is about 33828.0106420700. The cubic root of 1144334304 is about 1045.9661719017.

Adding to 1144334304 its reverse (4034334411), we get a palindrome (5178668715).

The spelling of 1144334304 in words is "one billion, one hundred forty-four million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 149 162 216 288 298 324 432 447 596 648 864 894 1192 1296 1341 1788 2384 2592 2682 2963 3576 4023 4768 5364 5926 7152 8046 8889 10728 11852 12069 14304 16092 17778 21456 23704 24138 26667 32184 35556 42912 47408 48276 53334 64368 71112 80001 94816 96552 106668 128736 142224 160002 193104 213336 240003 284448 320004 386208 426672 441487 480006 640008 853344 882974 960012 1280016 1324461 1765948 1920024 2560032 2648922 3531896 3840048 3973383 5297844 7063792 7680096 7946766 10595688 11920149 14127584 15893532 21191376 23840298 31787064 35760447 42382752 47680596 63574128 71520894 95361192 127148256 143041788 190722384 286083576 381444768 572167152 1144334304