Search a number
-
+
440445312 = 2732382331
BaseRepresentation
bin11010010000001…
…010100110000000
31010200202221101100
4122100022212000
51400223222222
6111412134400
713625503056
oct3220124600
91120687340
10440445312
1120669009a
12103607400
1370332a38
14426d21d6
1528a024ac
hex1a40a980

440445312 has 48 divisors (see below), whose sum is σ = 1267430580. Its totient is φ = 146814720.

The previous prime is 440445263. The next prime is 440445323. The reversal of 440445312 is 213544044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190014 + ... + 192317.

Almost surely, 2440445312 is an apocalyptic number.

It is an amenable number.

440445312 is an abundant number, since it is smaller than the sum of its proper divisors (826985268).

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

440445312 is a wasteful number, since it uses less digits than its factorization.

440445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382351 (or 382336 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 440445312 is about 20986.7889873606. The cubic root of 440445312 is about 760.8469966026.

Adding to 440445312 its reverse (213544044), we get a palindrome (653989356).

The spelling of 440445312 in words is "four hundred forty million, four hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 382331 764662 1146993 1529324 2293986 3058648 3440979 4587972 6117296 6881958 9175944 12234592 13763916 18351888 24469184 27527832 36703776 48938368 55055664 73407552 110111328 146815104 220222656 440445312