Search a number
-
+
1346387112 = 233272381629
BaseRepresentation
bin101000001000000…
…0011110010101000
310110211110112220100
41100100003302220
510224133341422
6341333425400
745236046600
oct12020036250
93424415810
101346387112
11631000624
12316a9b260
13185c29a85
14cab57c00
157d3047ac
hex50403ca8

1346387112 has 72 divisors (see below), whose sum is σ = 4241817450. Its totient is φ = 384681024.

The previous prime is 1346387039. The next prime is 1346387113. The reversal of 1346387112 is 2117836431.

It is a happy number.

1346387112 is a `hidden beast` number, since 1 + 3 + 4 + 638 + 7 + 1 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1000203876 + 346183236 = 31626^2 + 18606^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1346387113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 187287 + ... + 194342.

Almost surely, 21346387112 is an apocalyptic number.

1346387112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1346387112 is an abundant number, since it is smaller than the sum of its proper divisors (2895430338).

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

1346387112 is a wasteful number, since it uses less digits than its factorization.

1346387112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381655 (or 381641 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1346387112 is about 36693.1480252104. The cubic root of 1346387112 is about 1104.2226433448. Note that the first 3 decimals are identical.

The spelling of 1346387112 in words is "one billion, three hundred forty-six million, three hundred eighty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 381629 763258 1144887 1526516 2289774 2671403 3053032 3434661 4579548 5342806 6869322 8014209 9159096 10685612 13738644 16028418 18699821 21371224 24042627 27477288 32056836 37399642 48085254 56099463 64113672 74799284 96170508 112198926 149598568 168298389 192341016 224397852 336596778 448795704 673193556 1346387112