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1100245344 = 253118312553
BaseRepresentation
bin100000110010100…
…0110100101100000
32211200022020212120
41001211012211200
54223130322334
6301102024240
736156634242
oct10145064540
92750266776
101100245344
11515072680
12268578080
13146c38563
14a61a4092
15668d3949
hex41946960

1100245344 has 96 divisors (see below), whose sum is σ = 3188916864. Its totient is φ = 329364480.

The previous prime is 1100245337. The next prime is 1100245361. The reversal of 1100245344 is 4435420011.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81372 + ... + 93924.

It is an arithmetic number, because the mean of its divisors is an integer number (33217884).

Almost surely, 21100245344 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 1100245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594458432).

1100245344 is an abundant number, since it is smaller than the sum of its proper divisors (2088671520).

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

1100245344 is a wasteful number, since it uses less digits than its factorization.

1100245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12660 (or 12652 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1100245344 is about 33169.9463973037. The cubic root of 1100245344 is about 1032.3568563369.

Adding to 1100245344 its reverse (4435420011), we get a palindrome (5535665355).

The spelling of 1100245344 in words is "one billion, one hundred million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 132 166 176 249 264 332 352 498 528 664 913 996 1056 1328 1826 1992 2656 2739 3652 3984 5478 7304 7968 10956 12553 14608 21912 25106 29216 37659 43824 50212 75318 87648 100424 138083 150636 200848 276166 301272 401696 414249 552332 602544 828498 1041899 1104664 1205088 1656996 2083798 2209328 3125697 3313992 4167596 4418656 6251394 6627984 8335192 11460889 12502788 13255968 16670384 22921778 25005576 33340768 34382667 45843556 50011152 68765334 91687112 100022304 137530668 183374224 275061336 366748448 550122672 1100245344