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744010434 = 2344592657
BaseRepresentation
bin101100010110001…
…011001011000010
31220211222122110000
4230112023023002
53010431313214
6201454420430
724302661426
oct5426131302
91824878400
10744010434
11351a7a062
12189201716
13bb1ab47b
1470b52b86
15454b7809
hex2c58b2c2

744010434 has 20 divisors (see below), whose sum is σ = 1667134854. Its totient is φ = 248003424.

The previous prime is 744010429. The next prime is 744010441. The reversal of 744010434 is 434010447.

It can be written as a sum of positive squares in only one way, i.e., 660233025 + 83777409 = 25695^2 + 9153^2 .

It is a super-3 number, since 3×7440104343 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 744010398 and 744010407.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 2296167 + ... + 2296490.

Almost surely, 2744010434 is an apocalyptic number.

744010434 is an abundant number, since it is smaller than the sum of its proper divisors (923124420).

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

744010434 is a wasteful number, since it uses less digits than its factorization.

744010434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592671 (or 4592662 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 744010434 is about 27276.5546578009. The cubic root of 744010434 is about 906.1352151156.

The spelling of 744010434 in words is "seven hundred forty-four million, ten thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 4592657 9185314 13777971 27555942 41333913 82667826 124001739 248003478 372005217 744010434