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13434440 = 235536337
BaseRepresentation
bin110011001111…
…111001001000
3221021112120212
4303033321020
511414400230
61155540252
7222122315
oct63177110
927245525
1013434440
117646548
1245ba688
132a24b96
141ad9d0c
1512a5895
hexccfe48

13434440 has 32 divisors (see below), whose sum is σ = 30802680. Its totient is φ = 5271552.

The previous prime is 13434427. The next prime is 13434451. The reversal of 13434440 is 4443431.

It can be written as a sum of positive squares in 4 ways, for example, as 11142244 + 2292196 = 3338^2 + 1514^2 .

It is a super-2 number, since 2×134344402 = 360968356227200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1049 + ... + 5288.

Almost surely, 213434440 is an apocalyptic number.

13434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13434440 is an abundant number, since it is smaller than the sum of its proper divisors (17368240).

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

13434440 is a wasteful number, since it uses less digits than its factorization.

13434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 13434440 is about 3665.3021703538. The cubic root of 13434440 is about 237.7240876697.

Adding to 13434440 its reverse (4443431), we get a palindrome (17877871).

The spelling of 13434440 in words is "thirteen million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 6337 12674 25348 31685 50696 63370 126740 253480 335861 671722 1343444 1679305 2686888 3358610 6717220 13434440