Search a number
-
+
1290341312 = 26132953479
BaseRepresentation
bin100110011101001…
…0000101111000000
310022221000010111222
41030322100233000
510120311410222
6332012254212
743655502011
oct11472205700
93287003458
101290341312
11602400587
12300171368
13177435890
14c3529008
1578433542
hex4ce90bc0

1290341312 has 56 divisors (see below), whose sum is σ = 2852623200. Its totient is φ = 574995456.

The previous prime is 1290341279. The next prime is 1290341317. The reversal of 1290341312 is 2131430921.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290341317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2612 + ... + 50867.

It is an arithmetic number, because the mean of its divisors is an integer number (50939700).

Almost surely, 21290341312 is an apocalyptic number.

It is an amenable number.

1290341312 is an abundant number, since it is smaller than the sum of its proper divisors (1562281888).

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

1290341312 is a wasteful number, since it uses less digits than its factorization.

1290341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53533 (or 53523 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1290341312 is about 35921.3211338336. The cubic root of 1290341312 is about 1088.6832321925.

The spelling of 1290341312 in words is "one billion, two hundred ninety million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 1508 1856 3016 6032 12064 24128 53479 106958 213916 427832 695227 855664 1390454 1550891 1711328 2780908 3101782 3422656 5561816 6203564 11123632 12407128 20161583 22247264 24814256 40323166 44494528 49628512 80646332 99257024 161292664 322585328 645170656 1290341312