Search a number
-
+
1339033842 = 234414492
BaseRepresentation
bin100111111010000…
…0000100011110010
310110022121222010000
41033310000203302
510220243040332
6340512050430
745116412516
oct11764004362
93408558100
101339033842
11627938a43
12314533a16
13184553b23
14c9ba2146
157c850b7c
hex4fd008f2

1339033842 has 60 divisors (see below), whose sum is σ = 3080469546. Its totient is φ = 434488320.

The previous prime is 1339033831. The next prime is 1339033847. The reversal of 1339033842 is 2483309331.

It can be written as a sum of positive squares in 3 ways, for example, as 957964401 + 381069441 = 30951^2 + 19521^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1339033797 and 1339033806.

It is not an unprimeable number, because it can be changed into a prime (1339033847) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2982034 + ... + 2982482.

Almost surely, 21339033842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1339033842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540234773).

1339033842 is an abundant number, since it is smaller than the sum of its proper divisors (1741435704).

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

1339033842 is an frugal number, since it uses more digits than its factorization.

1339033842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 495 counting only the distinct ones).

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

The square root of 1339033842 is about 36592.8113432133. The cubic root of 1339033842 is about 1102.2087416100.

The spelling of 1339033842 in words is "one billion, three hundred thirty-nine million, thirty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 449 738 898 1107 1347 2214 2694 3321 4041 6642 8082 12123 18409 24246 36369 36818 55227 72738 110454 165681 201601 331362 403202 497043 604803 994086 1209606 1491129 1814409 2982258 3628818 5443227 8265641 10886454 16329681 16531282 24796923 32659362 49593846 74390769 148781538 223172307 446344614 669516921 1339033842