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441264 = 24329317
BaseRepresentation
bin1101011101110110000
3211102022010
41223232300
5103110024
613242520
73515325
oct1535660
9742263
10441264
1128158a
12193440
13125b05
14b6b4c
158ab29
hex6bbb0

441264 has 40 divisors (see below), whose sum is σ = 1182960. Its totient is φ = 141568.

The previous prime is 441263. The next prime is 441281. The reversal of 441264 is 462144.

441264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 441264.

It is not an unprimeable number, because it can be changed into a prime (441263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1234 + ... + 1550.

It is an arithmetic number, because the mean of its divisors is an integer number (29574).

2441264 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 441264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591480).

441264 is an abundant number, since it is smaller than the sum of its proper divisors (741696).

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

441264 is a wasteful number, since it uses less digits than its factorization.

441264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 441264 is about 664.2770506347. The cubic root of 441264 is about 76.1318118855.

The spelling of 441264 in words is "four hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 317 348 464 634 696 951 1268 1392 1902 2536 3804 5072 7608 9193 15216 18386 27579 36772 55158 73544 110316 147088 220632 441264