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13412340 = 22325269277
BaseRepresentation
bin110011001010…
…011111110100
3221020102021100
4303022133310
511413143330
61155250100
7222001014
oct63123764
927212240
1013412340
117630987
1245a9930
132a17ac6
141ad1c44
15129e060
hexcca7f4

13412340 has 72 divisors (see below), whose sum is σ = 40982760. Its totient is φ = 3550464.

The previous prime is 13412299. The next prime is 13412359. The reversal of 13412340 is 4321431.

It can be written as a sum of positive squares in 4 ways, for example, as 191844 + 13220496 = 438^2 + 3636^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48282 + ... + 48558.

It is an arithmetic number, because the mean of its divisors is an integer number (569205).

Almost surely, 213412340 is an apocalyptic number.

13412340 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 13412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491380).

13412340 is an abundant number, since it is smaller than the sum of its proper divisors (27570420).

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

13412340 is a wasteful number, since it uses less digits than its factorization.

13412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13412340 is about 3662.2861712324. The cubic root of 13412340 is about 237.5936620423.

Adding to 13412340 its reverse (4321431), we get a palindrome (17733771).

Subtracting from 13412340 its reverse (4321431), we obtain a palindrome (9090909).

The spelling of 13412340 in words is "thirteen million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 277 538 554 807 831 1076 1108 1345 1385 1614 1662 2421 2493 2690 2770 3228 3324 4035 4155 4842 4986 5380 5540 8070 8310 9684 9972 12105 12465 16140 16620 24210 24930 48420 49860 74513 149026 223539 298052 372565 447078 670617 745130 894156 1117695 1341234 1490260 2235390 2682468 3353085 4470780 6706170 13412340