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744376401 = 32731132993
BaseRepresentation
bin101100010111100…
…100100001010001
31220212200020110100
4230113210201101
53011030021101
6201510323013
724306044406
oct5427444121
91825606410
10744376401
113521aa00a
12189359469
13bb2a8c12
1470c0a2ad
154553ae86
hex2c5e4851

744376401 has 12 divisors (see below), whose sum is σ = 1089940228. Its totient is φ = 489452544.

The previous prime is 744376387. The next prime is 744376411. The reversal of 744376401 is 104673447.

It is a happy number.

744376401 is a `hidden beast` number, since 7 + 4 + 4 + 3 + 7 + 640 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139216401 + 605160000 = 11799^2 + 24600^2 .

It is not a de Polignac number, because 744376401 - 211 = 744374353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (744376411) 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 11 ways as a sum of consecutive naturals, for example, 565840 + ... + 567153.

Almost surely, 2744376401 is an apocalyptic number.

It is an amenable number.

744376401 is a deficient number, since it is larger than the sum of its proper divisors (345563827).

744376401 is a wasteful number, since it uses less digits than its factorization.

744376401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133072 (or 1133069 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 744376401 is about 27283.2622866108. The cubic root of 744376401 is about 906.2837619701.

The spelling of 744376401 in words is "seven hundred forty-four million, three hundred seventy-six thousand, four hundred one".

Divisors: 1 3 9 73 219 657 1132993 3398979 10196937 82708489 248125467 744376401