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1343136 = 25317823
BaseRepresentation
bin101000111111010100000
32112020102210
411013322200
5320440021
644442120
714262564
oct5077240
92466383
101343136
11838133
12549340
13380472
1426d6a4
151b7e76
hex147ea0

1343136 has 48 divisors (see below), whose sum is σ = 3737664. Its totient is φ = 420864.

The previous prime is 1343113. The next prime is 1343161. The reversal of 1343136 is 6313431.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1221 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (77868).

21343136 is an apocalyptic number.

1343136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868832).

1343136 is an abundant number, since it is smaller than the sum of its proper divisors (2394528).

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

1343136 is a wasteful number, since it uses less digits than its factorization.

1343136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1343136 is about 1158.9374443860. The cubic root of 1343136 is about 110.3333140645. Note that the first 4 decimals are identical.

Adding to 1343136 its reverse (6313431), we get a palindrome (7656567).

The spelling of 1343136 in words is "one million, three hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 823 1632 1646 2469 3292 4938 6584 9876 13168 13991 19752 26336 27982 39504 41973 55964 79008 83946 111928 167892 223856 335784 447712 671568 1343136