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13464440 = 2351171431
BaseRepresentation
bin110011010111…
…001101111000
3221100001201222
4303113031320
511421330230
61200331212
7222305633
oct63271570
927301658
1013464440
117667040
124613b08
132a35732
141b06c1a
1512ae6e5
hexcd7378

13464440 has 64 divisors (see below), whose sum is σ = 33592320. Its totient is φ = 4816000.

The previous prime is 13464433. The next prime is 13464463. The reversal of 13464440 is 4446431.

It is a super-2 number, since 2×134644402 = 362582289027200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31025 + ... + 31455.

It is an arithmetic number, because the mean of its divisors is an integer number (524880).

Almost surely, 213464440 is an apocalyptic number.

13464440 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 13464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796160).

13464440 is an abundant number, since it is smaller than the sum of its proper divisors (20127880).

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

13464440 is a wasteful number, since it uses less digits than its factorization.

13464440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 13464440 is about 3669.3923202623. The cubic root of 13464440 is about 237.9009073627.

Subtracting from 13464440 its reverse (4446431), we obtain a square (9018009 = 30032).

The spelling of 13464440 in words is "thirteen million, four hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 431 440 568 710 781 862 1420 1562 1724 2155 2840 3124 3448 3905 4310 4741 6248 7810 8620 9482 15620 17240 18964 23705 30601 31240 37928 47410 61202 94820 122404 153005 189640 244808 306010 336611 612020 673222 1224040 1346444 1683055 2692888 3366110 6732220 13464440