Search a number
-
+
1349346312 = 2332471812203
BaseRepresentation
bin101000001101101…
…0110010000001000
310111001000220011100
41100123112100020
510230413040222
6341521101400
745303153156
oct12033262010
93431026140
101349346312
11632741946
12317a87860
13186724992
14cb2c83d6
157d6db4ac
hex506d6408

1349346312 has 96 divisors (see below), whose sum is σ = 3754558080. Its totient is φ = 437581440.

The previous prime is 1349346277. The next prime is 1349346329. The reversal of 1349346312 is 2136439431.

1349346312 is a `hidden beast` number, since 13 + 4 + 9 + 3 + 4 + 631 + 2 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611403 + ... + 613605.

It is an arithmetic number, because the mean of its divisors is an integer number (39109980).

Almost surely, 21349346312 is an apocalyptic number.

1349346312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349346312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877279040).

1349346312 is an abundant number, since it is smaller than the sum of its proper divisors (2405211768).

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

1349346312 is a wasteful number, since it uses less digits than its factorization.

1349346312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2436 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 1349346312 is about 36733.4494976990. The cubic root of 1349346312 is about 1105.0310350749.

It can be divided in two parts, 134934 and 6312, that added together give a triangular number (141246 = T531).

The spelling of 1349346312 in words is "one billion, three hundred forty-nine million, three hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 181 188 282 362 376 423 543 564 724 846 1086 1128 1448 1629 1692 2172 2203 3258 3384 4344 4406 6516 6609 8507 8812 13032 13218 17014 17624 19827 25521 26436 34028 39654 51042 52872 68056 76563 79308 102084 103541 153126 158616 204168 207082 306252 310623 398743 414164 612504 621246 797486 828328 931869 1196229 1242492 1594972 1863738 2392458 2484984 3189944 3588687 3727476 4784916 7177374 7454952 9569832 14354748 18740921 28709496 37481842 56222763 74963684 112445526 149927368 168668289 224891052 337336578 449782104 674673156 1349346312