Search a number
-
+
3444681144 = 233277518153
BaseRepresentation
bin1100110101010001…
…1010100110111000
322220001202221012010
43031110122212320
524023314244034
61325451245520
7151235210112
oct31524324670
98801687163
103444681144
111508483a23
128017498a0
1342b86b288
142496bc3b2
151526313e9
hexcd51a9b8

3444681144 has 32 divisors (see below), whose sum is σ = 8642808720. Its totient is φ = 1144079616.

The previous prime is 3444681137. The next prime is 3444681179. The reversal of 3444681144 is 4411864443.

3444681144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252429 + ... + 265724.

Almost surely, 23444681144 is an apocalyptic number.

It is an amenable number.

3444681144 is an abundant number, since it is smaller than the sum of its proper divisors (5198127576).

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

3444681144 is a wasteful number, since it uses less digits than its factorization.

3444681144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518439 (or 518435 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 3444681144 is about 58691.4060489268. The cubic root of 3444681144 is about 1510.2528915795.

The spelling of 3444681144 in words is "three billion, four hundred forty-four million, six hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 277 554 831 1108 1662 2216 3324 6648 518153 1036306 1554459 2072612 3108918 4145224 6217836 12435672 143528381 287056762 430585143 574113524 861170286 1148227048 1722340572 3444681144