Search a number
-
+
440066466 = 23371318887
BaseRepresentation
bin11010001110101…
…110000110100010
31010200001200201000
4122032232012202
51400124111331
6111400052430
713622334420
oct3216560642
91120050630
10440066466
112064514a4
12103464116
137022c478
1442634110
152897a0e6
hex1a3ae1a2

440066466 has 64 divisors (see below), whose sum is σ = 1126287360. Its totient is φ = 124759440.

The previous prime is 440066351. The next prime is 440066479. The reversal of 440066466 is 664660044.

It is a happy number.

440066466 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 6 + 646 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 440066466.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45075 + ... + 53961.

It is an arithmetic number, because the mean of its divisors is an integer number (17598240).

Almost surely, 2440066466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440066466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563143680).

440066466 is an abundant number, since it is smaller than the sum of its proper divisors (686220894).

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

440066466 is a wasteful number, since it uses less digits than its factorization.

440066466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9036 (or 9030 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 440066466 is about 20977.7612246874. The cubic root of 440066466 is about 760.6287882601.

The spelling of 440066466 in words is "four hundred forty million, sixty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 131 189 262 378 393 786 917 1179 1834 2358 2751 3537 5502 7074 8253 8887 16506 17774 24759 26661 49518 53322 62209 79983 124418 159966 186627 239949 373254 479898 559881 1119762 1164197 1679643 2328394 3359286 3492591 6985182 8149379 10477773 16298758 20955546 24448137 31433319 48896274 62866638 73344411 146688822 220033233 440066466