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1343443104 = 25338871753
BaseRepresentation
bin101000000010011…
…0101000010100000
310110121220222111000
41100010311002200
510222410134404
6341150352000
745202035513
oct12004650240
93417828430
101343443104
1162a37a763
12315abb600
13185438a63
14ca5ccd7a
157ce22339
hex501350a0

1343443104 has 96 divisors (see below), whose sum is σ = 3925031040. Its totient is φ = 447054336.

The previous prime is 1343443103. The next prime is 1343443177. The reversal of 1343443104 is 4013443431.

1343443104 is a `hidden beast` number, since 1 + 3 + 4 + 344 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1343443103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765492 + ... + 767244.

It is an arithmetic number, because the mean of its divisors is an integer number (40885740).

Almost surely, 21343443104 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 1343443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962515520).

1343443104 is an abundant number, since it is smaller than the sum of its proper divisors (2581587936).

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

1343443104 is a wasteful number, since it uses less digits than its factorization.

1343443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1343443104 is about 36653.0094808053. The cubic root of 1343443104 is about 1103.4172255031.

Adding to 1343443104 its reverse (4013443431), we get a palindrome (5356886535).

The spelling of 1343443104 in words is "one billion, three hundred forty-three million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 887 1753 1774 2661 3506 3548 5259 5322 7012 7096 7983 10518 10644 14024 14192 15777 15966 21036 21288 23949 28048 28384 31554 31932 42072 42576 47331 47898 56096 63108 63864 84144 85152 94662 95796 126216 127728 168288 189324 191592 252432 255456 378648 383184 504864 757296 766368 1514592 1554911 3109822 4664733 6219644 9329466 12439288 13994199 18658932 24878576 27988398 37317864 41982597 49757152 55976796 74635728 83965194 111953592 149271456 167930388 223907184 335860776 447814368 671721552 1343443104