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1313334 = 23411267
BaseRepresentation
bin101000000101000110110
32110201120000
411000220312
5314011314
644052130
714106651
oct5005066
92421500
101313334
11817800
12534046
1336ca29
14262898
151ae209
hex140a36

1313334 has 60 divisors (see below), whose sum is σ = 3282972. Its totient is φ = 392040.

The previous prime is 1313329. The next prime is 1313339. The reversal of 1313334 is 4333131.

1313334 = T222 + T223 + ... + T265.

It is an interprime number because it is at equal distance from previous prime (1313329) and next prime (1313339).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313339) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19569 + ... + 19635.

21313334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641486).

1313334 is an abundant number, since it is smaller than the sum of its proper divisors (1969638).

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

1313334 is a wasteful number, since it uses less digits than its factorization.

1313334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 1313334 is about 1146.0078533762. The cubic root of 1313334 is about 109.5111641835.

Subtracting from 1313334 its sum of digits (18), we obtain a square (1313316 = 11462).

Subtracting from 1313334 its product of digits (324), we obtain a triangular number (1313010 = T1620).

Adding to 1313334 its reverse (4333131), we get a palindrome (5646465).

The spelling of 1313334 in words is "one million, three hundred thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 81 99 121 134 162 198 201 242 297 363 402 594 603 726 737 891 1089 1206 1474 1782 1809 2178 2211 3267 3618 4422 5427 6534 6633 8107 9801 10854 13266 16214 19602 19899 24321 39798 48642 59697 72963 119394 145926 218889 437778 656667 1313334