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1038344741 = 72101209809
BaseRepresentation
bin111101111000111…
…110001000100101
32200100211101012122
4331320332020211
54111304012431
6251011155325
734505533100
oct7570761045
92610741178
101038344741
11493133855
1224b8a5b45
13137174495
149bc8d737
1561257a7b
hex3de3e225

1038344741 has 12 divisors (see below), whose sum is σ = 1219835340. Its totient is φ = 881193600.

The previous prime is 1038344731. The next prime is 1038344743. The reversal of 1038344741 is 1474438301.

It can be written as a sum of positive squares in 2 ways, for example, as 935748100 + 102596641 = 30590^2 + 10129^2 .

It is not a de Polignac number, because 1038344741 - 222 = 1034150437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038344743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99956 + ... + 109853.

It is an arithmetic number, because the mean of its divisors is an integer number (101652945).

Almost surely, 21038344741 is an apocalyptic number.

It is an amenable number.

1038344741 is a deficient number, since it is larger than the sum of its proper divisors (181490599).

1038344741 is a wasteful number, since it uses less digits than its factorization.

1038344741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209924 (or 209917 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 1038344741 is about 32223.3570721612. The cubic root of 1038344741 is about 1012.6216051879.

The spelling of 1038344741 in words is "one billion, thirty-eight million, three hundred forty-four thousand, seven hundred forty-one".

Divisors: 1 7 49 101 707 4949 209809 1468663 10280641 21190709 148334963 1038344741