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744040040 = 235132114081
BaseRepresentation
bin101100010110010…
…010011001101000
31220212001011001112
4230112102121220
53010433240130
6201455205452
724303143642
oct5426223150
91825034045
10744040040
11351a9a327
12189216888
13bb1bbaa3
1470b5d892
15454c1495
hex2c592668

744040040 has 32 divisors (see below), whose sum is σ = 1675476360. Its totient is φ = 297369600.

The previous prime is 744040039. The next prime is 744040049. The reversal of 744040040 is 40040447.

It can be written as a sum of positive squares in 4 ways, for example, as 743434756 + 605284 = 27266^2 + 778^2 .

It is a super-2 number, since 2×7440400402 = 1107191162246403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 744039988 and 744040015.

It is not an unprimeable number, because it can be changed into a prime (744040049) 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, 45800 + ... + 59880.

Almost surely, 2744040040 is an apocalyptic number.

It is an amenable number.

744040040 is an abundant number, since it is smaller than the sum of its proper divisors (931436320).

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

744040040 is a wasteful number, since it uses less digits than its factorization.

744040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15409 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 744040040 is about 27277.0973529076. The cubic root of 744040040 is about 906.1472340704.

Adding to 744040040 its reverse (40040447), we get a palindrome (784080487).

The spelling of 744040040 in words is "seven hundred forty-four million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1321 2642 5284 6605 10568 13210 14081 26420 28162 52840 56324 70405 112648 140810 281620 563240 18601001 37202002 74404004 93005005 148808008 186010010 372020020 744040040