Search a number
-
+
1344131432 = 2371011072221
BaseRepresentation
bin101000000011101…
…1101000101101000
310110200012221200122
41100013131011220
510223044201212
6341213222412
745210633350
oct12007350550
93420187618
101344131432
1162a7aa926
12316191a08
1318561a157
14ca72bb60
157d00b272
hex501dd168

1344131432 has 64 divisors (see below), whose sum is σ = 2937306240. Its totient is φ = 564768000.

The previous prime is 1344131389. The next prime is 1344131447. The reversal of 1344131432 is 2341314431.

It is a happy number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604082 + ... + 606302.

It is an arithmetic number, because the mean of its divisors is an integer number (45895410).

Almost surely, 21344131432 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 1344131432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468653120).

1344131432 is an abundant number, since it is smaller than the sum of its proper divisors (1593174808).

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

1344131432 is a wasteful number, since it uses less digits than its factorization.

1344131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2438 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 1344131432 is about 36662.3980666841. The cubic root of 1344131432 is about 1103.6056426857.

Adding to 1344131432 its reverse (2341314431), we get a palindrome (3685445863).

The spelling of 1344131432 in words is "one billion, three hundred forty-four million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 101 107 202 214 404 428 707 749 808 856 1414 1498 2221 2828 2996 4442 5656 5992 8884 10807 15547 17768 21614 31094 43228 62188 75649 86456 124376 151298 224321 237647 302596 448642 475294 605192 897284 950588 1570247 1663529 1794568 1901176 3140494 3327058 6280988 6654116 12561976 13308232 24002347 48004694 96009388 168016429 192018776 336032858 672065716 1344131432