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13345444 = 227371137
BaseRepresentation
bin110010111010…
…001010100100
3221010000111201
4302322022210
511404023234
61154012244
7221302000
oct62721244
927100451
1013345444
1175956a2
124577084
1329c3518
141ab5700
151289314
hexcba2a4

13345444 has 48 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 5597760.

The previous prime is 13345439. The next prime is 13345463. The reversal of 13345444 is 44454331.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97344 + ... + 97480.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 213345444 is an apocalyptic number.

13345444 is a gapful number since it is divisible by the number (14) 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 13345444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

13345444 is an abundant number, since it is smaller than the sum of its proper divisors (14475356).

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

13345444 is a wasteful number, since it uses less digits than its factorization.

13345444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 13345444 is about 3653.1416616387. The cubic root of 13345444 is about 237.1979924888.

Adding to 13345444 its reverse (44454331), we get a palindrome (57799775).

The spelling of 13345444 in words is "thirteen million, three hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 71 98 137 142 196 274 284 343 497 548 686 959 994 1372 1918 1988 3479 3836 6713 6958 9727 13426 13916 19454 24353 26852 38908 46991 48706 68089 93982 97412 136178 187964 272356 476623 953246 1906492 3336361 6672722 13345444