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1340185352 = 231122947741
BaseRepresentation
bin100111111100001…
…1001101100001000
310110101210110200112
41033320121230020
510221041412402
6340552453452
745132246632
oct11770315410
93411713615
101340185352
11628555100
123149aa288
13184867cac
14c9dc1a52
157c9cbe52
hex4fe19b08

1340185352 has 48 divisors (see below), whose sum is σ = 2857358700. Its totient is φ = 588156800.

The previous prime is 1340185339. The next prime is 1340185369. The reversal of 1340185352 is 2535810431.

It can be written as a sum of positive squares in 2 ways, for example, as 1158313156 + 181872196 = 34034^2 + 13486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4202 + ... + 51942.

Almost surely, 21340185352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340185352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428679350).

1340185352 is an abundant number, since it is smaller than the sum of its proper divisors (1517173348).

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

1340185352 is a wasteful number, since it uses less digits than its factorization.

1340185352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47798 (or 47783 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1340185352 is about 36608.5420632945. The cubic root of 1340185352 is about 1102.5246013744.

Adding to 1340185352 its reverse (2535810431), we get a palindrome (3875995783).

The spelling of 1340185352 in words is "one billion, three hundred forty million, one hundred eighty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 968 1276 2552 3509 7018 14036 28072 47741 95482 190964 381928 525151 1050302 1384489 2100604 2768978 4201208 5537956 5776661 11075912 11553322 15229379 23106644 30458758 46213288 60917516 121835032 167523169 335046338 670092676 1340185352