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13440438 = 23311417
BaseRepresentation
bin110011010001…
…010110110110
3221021211211000
4303101112312
511420043223
61200024130
7222145644
oct63212666
927254730
1013440438
117650000
124602046
132a2782b
141adc194
1512a7543
hexcd15b6

13440438 has 80 divisors (see below), whose sum is σ = 34786800. Its totient is φ = 3833280.

The previous prime is 13440437. The next prime is 13440461. The reversal of 13440438 is 83404431.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440431) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 790606 + ... + 790622.

It is an arithmetic number, because the mean of its divisors is an integer number (434835).

Almost surely, 213440438 is an apocalyptic number.

13440438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17393400).

13440438 is an abundant number, since it is smaller than the sum of its proper divisors (21346362).

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

13440438 is an equidigital number, since it uses as much as digits as its factorization.

13440438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 13440438 is about 3666.1202926254. The cubic root of 13440438 is about 237.7594608581.

13440438 divided by its sum of digits (27) gives a palindrome (497794).

Adding to 13440438 its reverse (83404431), we get a palindrome (96844869).

The spelling of 13440438 in words is "thirteen million, four hundred forty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 121 153 187 198 242 297 306 363 374 459 561 594 726 918 1089 1122 1331 1683 2057 2178 2662 3267 3366 3993 4114 5049 6171 6534 7986 10098 11979 12342 14641 18513 22627 23958 29282 35937 37026 43923 45254 55539 67881 71874 87846 111078 131769 135762 203643 248897 263538 395307 407286 497794 610929 746691 790614 1221858 1493382 2240073 4480146 6720219 13440438