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3444135247 = 71723154919
BaseRepresentation
bin1100110101001001…
…0101010101001111
322220000202012100201
43031102111111033
524023144311442
61325431434331
7151230444430
oct31522252517
98800665321
103444135247
111508140873
128015259a7
1342b709967
142495b9487
151525747b7
hexcd49554f

3444135247 has 24 divisors (see below), whose sum is σ = 4316272640. Its totient is φ = 2688785280.

The previous prime is 3444135217. The next prime is 3444135287. The reversal of 3444135247 is 7425314443.

It is not a de Polignac number, because 3444135247 - 27 = 3444135119 is a prime.

It is a super-4 number, since 4×34441352474 (a number of 39 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444135217) 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 23 ways as a sum of consecutive naturals, for example, 35254 + ... + 90172.

Almost surely, 23444135247 is an apocalyptic number.

3444135247 is a deficient number, since it is larger than the sum of its proper divisors (872137393).

3444135247 is a wasteful number, since it uses less digits than its factorization.

3444135247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54991 (or 54974 counting only the distinct ones).

The product of its digits is 161280, while the sum is 37.

The square root of 3444135247 is about 58686.7552945296. The cubic root of 3444135247 is about 1510.1731080869.

The spelling of 3444135247 in words is "three billion, four hundred forty-four million, one hundred thirty-five thousand, two hundred forty-seven".

Divisors: 1 7 17 31 119 217 289 527 2023 3689 8959 54919 62713 384433 933623 1702489 6535361 11917423 15871591 28942313 111101137 202596191 492019321 3444135247