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3744442329 = 32928317881
BaseRepresentation
bin1101111100101111…
…1010011111011001
3100122221211101020020
43133023322133121
530132034123304
61415320221053
7161535143325
oct33713723731
910587741206
103744442329
111651704a41
1288600a789
134789b4464
1427742c985
1516dae45d9
hexdf2fa7d9

3744442329 has 24 divisors (see below), whose sum is σ = 5233274592. Its totient is φ = 2381043840.

The previous prime is 3744442223. The next prime is 3744442337. The reversal of 3744442329 is 9232444473.

3744442329 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3744442329 - 28 = 3744442073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3744442369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200469 + ... + 218349.

It is an arithmetic number, because the mean of its divisors is an integer number (218053108).

Almost surely, 23744442329 is an apocalyptic number.

It is an amenable number.

3744442329 is a deficient number, since it is larger than the sum of its proper divisors (1488832263).

3744442329 is a wasteful number, since it uses less digits than its factorization.

3744442329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18025 (or 17996 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 3744442329 is about 61191.8485502767. The cubic root of 3744442329 is about 1552.8483634589.

The spelling of 3744442329 in words is "three billion, seven hundred forty-four million, four hundred forty-two thousand, three hundred twenty-nine".

Divisors: 1 3 29 83 87 249 841 2407 2523 7221 17881 53643 69803 209409 518549 1484123 1555647 4452369 15037921 43039567 45113763 129118701 1248147443 3744442329