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1100442304 = 261319671039
BaseRepresentation
bin100000110010111…
…0110101011000000
32211200200021001101
41001211312223000
54223203123204
6301110144144
736161414413
oct10145665300
92750607041
101100442304
11515197655
12268652054
13146ca70c0
14a6215b7a
1566921ea4
hex41976ac0

1100442304 has 112 divisors (see below), whose sum is σ = 2514803200. Its totient is φ = 473527296.

The previous prime is 1100442263. The next prime is 1100442307. The reversal of 1100442304 is 4032440011.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1100442307) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1058617 + ... + 1059655.

It is an arithmetic number, because the mean of its divisors is an integer number (22453600).

Almost surely, 21100442304 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 1100442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257401600).

1100442304 is an abundant number, since it is smaller than the sum of its proper divisors (1414360896).

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

1100442304 is a wasteful number, since it uses less digits than its factorization.

1100442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1100442304 is about 33172.9152170864. The cubic root of 1100442304 is about 1032.4184549841.

Adding to 1100442304 its reverse (4032440011), we get a palindrome (5132882315).

The spelling of 1100442304 in words is "one billion, one hundred million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 67 76 104 134 152 208 247 268 304 416 494 536 608 832 871 988 1039 1072 1216 1273 1742 1976 2078 2144 2546 3484 3952 4156 4288 5092 6968 7904 8312 10184 13507 13936 15808 16549 16624 19741 20368 27014 27872 33098 33248 39482 40736 54028 55744 66196 66496 69613 78964 81472 108056 132392 139226 157928 216112 256633 264784 278452 315856 432224 513266 529568 556904 631712 864448 904969 1026532 1059136 1113808 1263424 1322647 1809938 2053064 2227616 2645294 3619876 4106128 4455232 5290588 7239752 8212256 10581176 14479504 16424512 17194411 21162352 28959008 34388822 42324704 57918016 68777644 84649408 137555288 275110576 550221152 1100442304