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13340340 = 22325135701
BaseRepresentation
bin110010111000…
…111010110100
3221002202111200
4302320322310
511403342330
61153532500
7221251056
oct62707264
927082450
1013340340
117591882
124574130
1329c10c0
141ab38d6
151287a60
hexcb8eb4

13340340 has 72 divisors (see below), whose sum is σ = 43586088. Its totient is φ = 3283200.

The previous prime is 13340309. The next prime is 13340351. The reversal of 13340340 is 4304331.

It can be written as a sum of positive squares in 4 ways, for example, as 1313316 + 12027024 = 1146^2 + 3468^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 511 + ... + 5190.

Almost surely, 213340340 is an apocalyptic number.

13340340 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 13340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21793044).

13340340 is an abundant number, since it is smaller than the sum of its proper divisors (30245748).

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

13340340 is a wasteful number, since it uses less digits than its factorization.

13340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13340340 is about 3652.4430180360. The cubic root of 13340340 is about 237.1677496352.

Adding to 13340340 its reverse (4304331), we get a palindrome (17644671).

The spelling of 13340340 in words is "thirteen million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5701 11402 17103 22804 28505 34206 51309 57010 68412 74113 85515 102618 114020 148226 171030 205236 222339 256545 296452 342060 370565 444678 513090 667017 741130 889356 1026180 1111695 1334034 1482260 2223390 2668068 3335085 4446780 6670170 13340340