Search a number
-
+
1344420 = 2232571197
BaseRepresentation
bin101001000001110100100
32112022012100
411020032210
5321010140
644452100
714266410
oct5101644
92468170
101344420
118390a0
1254a030
13380c1c
1426dd40
151b8530
hex1483a4

1344420 has 144 divisors (see below), whose sum is σ = 5136768. Its totient is φ = 276480.

The previous prime is 1344407. The next prime is 1344457. The reversal of 1344420 is 244431.

Adding to 1344420 its reverse (244431), we get a palindrome (1588851).

It can be divided in two parts, 1344 and 420, that added together give a square (1764 = 422).

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

It is a junction number, because it is equal to n+sod(n) for n = 1344393 and 1344402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13812 + ... + 13908.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

21344420 is an apocalyptic number.

1344420 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 1344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568384).

1344420 is an abundant number, since it is smaller than the sum of its proper divisors (3792348).

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

1344420 is a wasteful number, since it uses less digits than its factorization.

1344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1344420 is about 1159.4912677550. The cubic root of 1344420 is about 110.3684613754.

The spelling of 1344420 in words is "one million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 97 99 105 110 126 132 140 154 165 180 194 198 210 220 231 252 291 308 315 330 385 388 396 420 462 485 495 582 630 660 679 693 770 873 924 970 990 1067 1155 1164 1260 1358 1386 1455 1540 1746 1940 1980 2037 2134 2310 2716 2772 2910 3201 3395 3465 3492 4074 4268 4365 4620 5335 5820 6111 6402 6790 6930 7469 8148 8730 9603 10185 10670 12222 12804 13580 13860 14938 16005 17460 19206 20370 21340 22407 24444 29876 30555 32010 37345 38412 40740 44814 48015 61110 64020 67221 74690 89628 96030 112035 122220 134442 149380 192060 224070 268884 336105 448140 672210 1344420