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440408916 = 223212233581
BaseRepresentation
bin11010010000000…
…001101101010100
31010200201002110100
4122100001231110
51400221041131
6111411254100
713625262003
oct3220015524
91120632410
10440408916
11206665812
121035aa330
137031c2bc
14426c2c3a
15289e67e6
hex1a401b54

440408916 has 18 divisors (see below), whose sum is σ = 1113255962. Its totient is φ = 146802960.

The previous prime is 440408879. The next prime is 440408929. The reversal of 440408916 is 619804044.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 244296900 + 196112016 = 15630^2 + 14004^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12233581 = 440408916 / (4 + 4 + 0 + 4 + 0 + 8 + 9 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6116755 + ... + 6116826.

Almost surely, 2440408916 is an apocalyptic number.

It is an amenable number.

440408916 is an abundant number, since it is smaller than the sum of its proper divisors (672847046).

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

440408916 is a wasteful number, since it uses less digits than its factorization.

440408916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233591 (or 12233586 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 440408916 is about 20985.9218525182. The cubic root of 440408916 is about 760.8260386090.

The spelling of 440408916 in words is "four hundred forty million, four hundred eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 12233581 24467162 36700743 48934324 73401486 110102229 146802972 220204458 440408916