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641374416 = 24331484663
BaseRepresentation
bin100110001110101…
…001100011010000
31122200212012022000
4212032221203100
52303142440131
6143350514000
721615410154
oct4616514320
91580765260
10641374416
112aa048101
1215a965900
13a2b53bb7
1461277064
153b491ce6
hex263a98d0

641374416 has 40 divisors (see below), whose sum is σ = 1840983360. Its totient is φ = 213791328.

The previous prime is 641374403. The next prime is 641374417. The reversal of 641374416 is 614473146.

641374416 is a `hidden beast` number, since 641 + 3 + 7 + 4 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×6413744162 = 822722282998682112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641374417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741900 + ... + 742763.

It is an arithmetic number, because the mean of its divisors is an integer number (46024584).

Almost surely, 2641374416 is an apocalyptic number.

It is an amenable number.

641374416 is an abundant number, since it is smaller than the sum of its proper divisors (1199608944).

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

641374416 is a wasteful number, since it uses less digits than its factorization.

641374416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484680 (or 1484668 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 641374416 is about 25325.3709943211. The cubic root of 641374416 is about 862.3903285884.

The spelling of 641374416 in words is "six hundred forty-one million, three hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1484663 2969326 4453989 5938652 8907978 11877304 13361967 17815956 23754608 26723934 35631912 40085901 53447868 71263824 80171802 106895736 160343604 213791472 320687208 641374416