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3744689220 = 2232520803829
BaseRepresentation
bin1101111100110011…
…0110110001000100
3100122222021220220100
43133030312301010
530132120023340
61415325404100
7161540222166
oct33714666104
910588256810
103744689220
111651863488
12886109630
13478a6c94c
14277494936
1516db42830
hexdf336c44

3744689220 has 36 divisors (see below), whose sum is σ = 11358891180. Its totient is φ = 998583744.

The previous prime is 3744689209. The next prime is 3744689227. The reversal of 3744689220 is 229864473.

It can be written as a sum of positive squares in 2 ways, for example, as 673091136 + 3071598084 = 25944^2 + 55422^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3744689227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10401735 + ... + 10402094.

It is an arithmetic number, because the mean of its divisors is an integer number (315524755).

Almost surely, 23744689220 is an apocalyptic number.

3744689220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3744689220 is an abundant number, since it is smaller than the sum of its proper divisors (7614201960).

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

3744689220 is a wasteful number, since it uses less digits than its factorization.

3744689220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20803844 (or 20803839 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3744689220 is about 61193.8658690559. The cubic root of 3744689220 is about 1552.8824918929.

The spelling of 3744689220 in words is "three billion, seven hundred forty-four million, six hundred eighty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 20803829 41607658 62411487 83215316 104019145 124822974 187234461 208038290 249645948 312057435 374468922 416076580 624114870 748937844 936172305 1248229740 1872344610 3744689220