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440070064 = 24738310259
BaseRepresentation
bin11010001110101…
…110111110110000
31010200001212122021
4122032232332300
51400124220224
6111400121224
713622351050
oct3216567660
91120055567
10440070064
11206454175
12103466214
1370230cb5
1442635560
152897b1e4
hex1a3aefb0

440070064 has 40 divisors (see below), whose sum is σ = 977080320. Its totient is φ = 188090688.

The previous prime is 440070047. The next prime is 440070073. The reversal of 440070064 is 460070044.

It is a happy number.

It is a super-2 number, since 2×4400700642 = 387323322457928192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37767 + ... + 48025.

It is an arithmetic number, because the mean of its divisors is an integer number (24427008).

Almost surely, 2440070064 is an apocalyptic number.

It is an amenable number.

440070064 is an abundant number, since it is smaller than the sum of its proper divisors (537010256).

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

440070064 is a wasteful number, since it uses less digits than its factorization.

440070064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 440070064 is about 20977.8469819951. The cubic root of 440070064 is about 760.6308612310.

The spelling of 440070064 in words is "four hundred forty million, seventy thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 383 766 1532 2681 3064 5362 6128 10259 10724 20518 21448 41036 42896 71813 82072 143626 164144 287252 574504 1149008 3929197 7858394 15716788 27504379 31433576 55008758 62867152 110017516 220035032 440070064