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1134312320 = 2753157173
BaseRepresentation
bin100001110011100…
…0011101110000000
32221001102000222102
41003213003232000
54310340443240
6304320125532
740052332001
oct10347035600
92831360872
101134312320
115323206a9
12277a668a8
1315100572b
14aa9111a8
15698b2815
hex439c3b80

1134312320 has 64 divisors (see below), whose sum is σ = 2799239040. Its totient is φ = 439080960.

The previous prime is 1134312299. The next prime is 1134312337. The reversal of 1134312320 is 232134311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1134312292 and 1134312301.

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 7 ways as a sum of consecutive naturals, for example, 8747 + ... + 48426.

It is an arithmetic number, because the mean of its divisors is an integer number (43738110).

Almost surely, 21134312320 is an apocalyptic number.

1134312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134312320 is an abundant number, since it is smaller than the sum of its proper divisors (1664926720).

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

1134312320 is an equidigital number, since it uses as much as digits as its factorization.

1134312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57223 (or 57211 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1134312320 is about 33679.5534412201. The cubic root of 1134312320 is about 1042.9037194792.

Adding to 1134312320 its reverse (232134311), we get a palindrome (1366446631).

The spelling of 1134312320 in words is "one billion, one hundred thirty-four million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 57173 114346 228692 285865 457384 571730 914768 1143460 1772363 1829536 2286920 3544726 3659072 4573840 7089452 7318144 8861815 9147680 14178904 17723630 18295360 28357808 35447260 36590720 56715616 70894520 113431232 141789040 226862464 283578080 567156160 1134312320