Search a number
-
+
440464064 = 2629237319
BaseRepresentation
bin11010010000001…
…111001011000000
31010200210220002212
4122100033023000
51400224322224
6111412401252
713625611535
oct3220171300
91120726085
10440464064
112066a3197
12103616228
137033b431
14426d8d8c
1528a07d0e
hex1a40f2c0

440464064 has 28 divisors (see below), whose sum is σ = 904189200. Its totient is φ = 212636928.

The previous prime is 440464019. The next prime is 440464069. The reversal of 440464064 is 460464044.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 440464064.

It is not an unprimeable number, because it can be changed into a prime (440464069) 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 3 ways as a sum of consecutive naturals, for example, 116804 + ... + 120515.

Almost surely, 2440464064 is an apocalyptic number.

It is an amenable number.

440464064 is an abundant number, since it is smaller than the sum of its proper divisors (463725136).

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

440464064 is a wasteful number, since it uses less digits than its factorization.

440464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237360 (or 237350 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 440464064 is about 20987.2357398491. The cubic root of 440464064 is about 760.8577941598.

The spelling of 440464064 in words is "four hundred forty million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 237319 474638 949276 1898552 3797104 6882251 7594208 13764502 15188416 27529004 55058008 110116016 220232032 440464064