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1124388864 = 212343389
BaseRepresentation
bin100001100000100…
…1101000000000000
32220100201212120000
41003001031000000
54300320420424
6303323320000
736602101434
oct10301150000
92810655500
101124388864
11527762aa5
12274680000
1314bc3c971
14a948a9c4
1568aa23c9
hex4304d000

1124388864 has 130 divisors (see below), whose sum is σ = 3359866290. Its totient is φ = 374685696.

The previous prime is 1124388829. The next prime is 1124388869. The reversal of 1124388864 is 4688834211.

It can be written as a sum of positive squares in only one way, i.e., 1116094464 + 8294400 = 33408^2 + 2880^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124388869) 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 9 ways as a sum of consecutive naturals, for example, 330082 + ... + 333470.

Almost surely, 21124388864 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 1124388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679933145).

1124388864 is an abundant number, since it is smaller than the sum of its proper divisors (2235477426).

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

1124388864 is an frugal number, since it uses more digits than its factorization.

1124388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3394 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1124388864 is about 33531.9081473154. The cubic root of 1124388864 is about 1039.8535493978.

The spelling of 1124388864 in words is "one billion, one hundred twenty-four million, three hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3389 3456 4096 4608 5184 6144 6778 6912 9216 10167 10368 12288 13556 13824 18432 20334 20736 27112 27648 30501 36864 40668 41472 54224 55296 61002 81336 82944 91503 108448 110592 122004 162672 165888 183006 216896 244008 274509 325344 331776 366012 433792 488016 549018 650688 732024 867584 976032 1098036 1301376 1464048 1735168 1952064 2196072 2602752 2928096 3470336 3904128 4392144 5205504 5856192 6940672 7808256 8784288 10411008 11712384 13881344 15616512 17568576 20822016 23424768 31233024 35137152 41644032 46849536 62466048 70274304 93699072 124932096 140548608 187398144 281097216 374796288 562194432 1124388864