Search a number
-
+
1343100 = 2235211237
BaseRepresentation
bin101000111111001111100
32112020101110
411013321330
5320434400
644442020
714262513
oct5077174
92466343
101343100
11838100
12549310
13380445
1426d67a
151b7e50
hex147e7c

1343100 has 108 divisors (see below), whose sum is σ = 4386872. Its totient is φ = 316800.

The previous prime is 1343081. The next prime is 1343113. The reversal of 1343100 is 13431.

It is a super-2 number, since 2×13431002 = 3607835220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 36282 + ... + 36318.

21343100 is an apocalyptic number.

1343100 is a gapful number since it is divisible by the number (10) 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 1343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193436).

1343100 is an abundant number, since it is smaller than the sum of its proper divisors (3043772).

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

1343100 is a wasteful number, since it uses less digits than its factorization.

1343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1343100 is about 1158.9219128138. The cubic root of 1343100 is about 110.3323283031.

Adding to 1343100 its reverse (13431), we get a palindrome (1356531).

Multiplying 1343100 by its reverse (13431), we get a square (18039176100 = 1343102).

1343100 divided by its reverse (13431) gives a square (100 = 102).

The spelling of 1343100 in words is "one million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 121 132 148 150 165 185 220 222 242 275 300 330 363 370 407 444 484 550 555 605 660 726 740 814 825 925 1100 1110 1210 1221 1452 1628 1650 1815 1850 2035 2220 2420 2442 2775 3025 3300 3630 3700 4070 4477 4884 5550 6050 6105 7260 8140 8954 9075 10175 11100 12100 12210 13431 17908 18150 20350 22385 24420 26862 30525 36300 40700 44770 53724 61050 67155 89540 111925 122100 134310 223850 268620 335775 447700 671550 1343100