Search a number
-
+
13343640 = 23351731211
BaseRepresentation
bin110010111001…
…101110011000
3221002221000220
4302321232120
511403444030
61154000040
7221263512
oct62715630
927087026
1013343640
117594302
124576020
1329c275b
141ab4bb2
151288a10
hexcb9b98

13343640 has 128 divisors (see below), whose sum is σ = 43960320. Its totient is φ = 3225600.

The previous prime is 13343621. The next prime is 13343647. The reversal of 13343640 is 4634331.

13343640 = T9 + T10 + ... + T430.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13343640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13343647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63135 + ... + 63345.

It is an arithmetic number, because the mean of its divisors is an integer number (343440).

Almost surely, 213343640 is an apocalyptic number.

13343640 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 13343640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21980160).

13343640 is an abundant number, since it is smaller than the sum of its proper divisors (30616680).

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

13343640 is a wasteful number, since it uses less digits than its factorization.

13343640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 13343640 is about 3652.8947425295. The cubic root of 13343640 is about 237.1873040855.

13343640 divided by its sum of digits (24) gives a triangular number (555985 = T1054).

Adding to 13343640 its reverse (4634331), we get a palindrome (17977971).

The spelling of 13343640 in words is "thirteen million, three hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 85 93 102 120 124 136 155 170 186 204 211 248 255 310 340 372 408 422 465 510 527 620 633 680 744 844 930 1020 1054 1055 1240 1266 1581 1688 1860 2040 2108 2110 2532 2635 3162 3165 3587 3720 4216 4220 5064 5270 6324 6330 6541 7174 7905 8440 10540 10761 12648 12660 13082 14348 15810 17935 19623 21080 21522 25320 26164 28696 31620 32705 35870 39246 43044 52328 53805 63240 65410 71740 78492 86088 98115 107610 111197 130820 143480 156984 196230 215220 222394 261640 333591 392460 430440 444788 555985 667182 784920 889576 1111970 1334364 1667955 2223940 2668728 3335910 4447880 6671820 13343640