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1355538312 = 233243392
BaseRepresentation
bin101000011001011…
…1101111110001000
310111110200110222200
41100302331332020
510234004211222
6342301520200
745406612512
oct12062757610
93443613880
101355538312
11636190aa7
12319b73060
13187ab219b
14cc05abb2
157e010eac
hex50cbdf88

1355538312 has 36 divisors (see below), whose sum is σ = 3672095895. Its totient is φ = 451741968.

The previous prime is 1355538311. The next prime is 1355538343. The reversal of 1355538312 is 2138355531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1355538312 is a `hidden beast` number, since 13 + 5 + 553 + 83 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 677769156 + 677769156 = 26034^2 + 26034^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26034.

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

It is not an unprimeable number, because it can be changed into a prime (1355538311) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 310239 + ... + 314577.

Almost surely, 21355538312 is an apocalyptic number.

1355538312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1355538312 is an abundant number, since it is smaller than the sum of its proper divisors (2316557583).

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

1355538312 is an frugal number, since it uses more digits than its factorization.

1355538312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690 (or 4344 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 1355538312 is about 36817.6358828212. The cubic root of 1355538312 is about 1106.7187442631.

The spelling of 1355538312 in words is "one billion, three hundred fifty-five million, five hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4339 8678 13017 17356 26034 34712 39051 52068 78102 104136 156204 312408 18826921 37653842 56480763 75307684 112961526 150615368 169442289 225923052 338884578 451846104 677769156 1355538312