Search a number
-
+
3744479268 = 2232743139991
BaseRepresentation
bin1101111100110000…
…0011100000100100
3100122221220020220100
43133030003200210
530132041314033
61415321104100
7161535356115
oct33714034044
910587806810
103744479268
11165172a772
12886028030
134789c820a
1427743c20c
1516db00513
hexdf303824

3744479268 has 36 divisors (see below), whose sum is σ = 9478018368. Its totient is φ = 1246470960.

The previous prime is 3744479267. The next prime is 3744479329. The reversal of 3744479268 is 8629744473.

3744479268 is a `hidden beast` number, since 374 + 4 + 4 + 7 + 9 + 268 = 666.

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

It is a super-2 number, since 2×37444792682 = 28042249976963631648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3744479267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43248 + ... + 96743.

It is an arithmetic number, because the mean of its divisors is an integer number (263278288).

Almost surely, 23744479268 is an apocalyptic number.

It is an amenable number.

3744479268 is an abundant number, since it is smaller than the sum of its proper divisors (5733539100).

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

3744479268 is a wasteful number, since it uses less digits than its factorization.

3744479268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140744 (or 140739 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 3744479268 is about 61192.1503789497. The cubic root of 3744479268 is about 1552.8534697357.

The spelling of 3744479268 in words is "three billion, seven hundred forty-four million, four hundred seventy-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 743 1486 2229 2972 4458 6687 8916 13374 26748 139991 279982 419973 559964 839946 1259919 1679892 2519838 5039676 104013313 208026626 312039939 416053252 624079878 936119817 1248159756 1872239634 3744479268