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3543342048 = 253289138239
BaseRepresentation
bin1101001100110011…
…0001101111100000
3100010221102102111200
43103030301233200
524224043421143
61343334041200
7153543624201
oct32314615740
910127372450
103543342048
111559140364
1282a7a9200
134461333cc
142588415a8
1515b11e1d3
hexd3331be0

3543342048 has 72 divisors (see below), whose sum is σ = 10189670400. Its totient is φ = 1167834624.

The previous prime is 3543342043. The next prime is 3543342059. The reversal of 3543342048 is 8402433453.

3543342048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3543342041) 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, 43488 + ... + 94751.

It is an arithmetic number, because the mean of its divisors is an integer number (141523200).

Almost surely, 23543342048 is an apocalyptic number.

It is an amenable number.

3543342048 is an abundant number, since it is smaller than the sum of its proper divisors (6646328352).

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

3543342048 is a wasteful number, since it uses less digits than its factorization.

3543342048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138344 (or 138333 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3543342048 is about 59525.9779256082. The cubic root of 3543342048 is about 1524.5360298482.

The spelling of 3543342048 in words is "three billion, five hundred forty-three million, three hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 138239 276478 414717 552956 829434 1105912 1244151 1658868 2211824 2488302 3317736 4423648 4976604 6635472 9953208 12303271 13270944 19906416 24606542 36909813 39812832 49213084 73819626 98426168 110729439 147639252 196852336 221458878 295278504 393704672 442917756 590557008 885835512 1181114016 1771671024 3543342048