Search a number
-
+
1341463416 = 2333710114957
BaseRepresentation
bin100111111110101…
…0001101101111000
310110111012101212020
41033331101231320
510221403312131
6341040114440
745146152026
oct11775215570
93414171766
101341463416
11629248357
12315305a20
13184bc4947
14ca235716
157cb80996
hex4ff51b78

1341463416 has 64 divisors (see below), whose sum is σ = 3478632480. Its totient is φ = 430732800.

The previous prime is 1341463393. The next prime is 1341463429. The reversal of 1341463416 is 6143641431.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82210 + ... + 97166.

Almost surely, 21341463416 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 1341463416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739316240).

1341463416 is an abundant number, since it is smaller than the sum of its proper divisors (2137169064).

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

1341463416 is a wasteful number, since it uses less digits than its factorization.

1341463416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15104 (or 15100 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 1341463416 is about 36625.9937203074. The cubic root of 1341463416 is about 1102.8749631882.

The spelling of 1341463416 in words is "one billion, three hundred forty-one million, four hundred sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 74 101 111 148 202 222 296 303 404 444 606 808 888 1212 2424 3737 7474 11211 14948 14957 22422 29896 29914 44844 44871 59828 89688 89742 119656 179484 358968 553409 1106818 1510657 1660227 2213636 3021314 3320454 4427272 4531971 6042628 6640908 9063942 12085256 13281816 18127884 36255768 55894309 111788618 167682927 223577236 335365854 447154472 670731708 1341463416