Search a number
-
+
1100344400 = 24522750861
BaseRepresentation
bin100000110010101…
…1110110001010000
32211200111021202022
41001211132301100
54223142010100
6301104111012
736160526111
oct10145366120
92750437668
101100344400
11515130041
12268605468
13146c7167c
14a61cc208
1566902e85
hex4195ec50

1100344400 has 30 divisors (see below), whose sum is σ = 2643578382. Its totient is φ = 440137600.

The previous prime is 1100344381. The next prime is 1100344409. The reversal of 1100344400 is 44430011.

It can be written as a sum of positive squares in 3 ways, for example, as 28174864 + 1072169536 = 5308^2 + 32744^2 .

It is a super-2 number, since 2×11003444002 = 2421515597222720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100344409) 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 5 ways as a sum of consecutive naturals, for example, 1375031 + ... + 1375830.

Almost surely, 21100344400 is an apocalyptic number.

1100344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100344400 is an abundant number, since it is smaller than the sum of its proper divisors (1543233982).

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

1100344400 is a wasteful number, since it uses less digits than its factorization.

1100344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750879 (or 2750868 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1100344400 is about 33171.4395225772. The cubic root of 1100344400 is about 1032.3878367216.

Adding to 1100344400 its reverse (44430011), we get a palindrome (1144774411).

The spelling of 1100344400 in words is "one billion, one hundred million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2750861 5501722 11003444 13754305 22006888 27508610 44013776 55017220 68771525 110034440 137543050 220068880 275086100 550172200 1100344400