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13413444 = 22311307331
BaseRepresentation
bin110011001010…
…110001000100
3221020110210020
4303022301010
511413212234
61155255140
7222004152
oct63126104
927213706
1013413444
1176317a0
1245aa4b0
132a18465
141ad23d2
15129e549
hexccac44

13413444 has 48 divisors (see below), whose sum is σ = 34358016. Its totient is φ = 4039200.

The previous prime is 13413443. The next prime is 13413461. The reversal of 13413444 is 44431431.

It is a super-2 number, since 2×134134442 = 359840959882272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40359 + ... + 40689.

It is an arithmetic number, because the mean of its divisors is an integer number (715792).

Almost surely, 213413444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13413444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179008).

13413444 is an abundant number, since it is smaller than the sum of its proper divisors (20944572).

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

13413444 is a wasteful number, since it uses less digits than its factorization.

13413444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 654 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 13413444 is about 3662.4368936543. The cubic root of 13413444 is about 237.6001808204.

Adding to 13413444 its reverse (44431431), we get a palindrome (57844875).

The spelling of 13413444 in words is "thirteen million, four hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 307 331 614 662 921 993 1228 1324 1842 1986 3377 3641 3684 3972 6754 7282 10131 10923 13508 14564 20262 21846 40524 43692 101617 203234 304851 406468 609702 1117787 1219404 2235574 3353361 4471148 6706722 13413444