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3479138949 = 311132679311
BaseRepresentation
bin1100111101011111…
…0111001010000101
322222110121120102010
43033113313022011
524111124421244
61333122004433
7152134123146
oct31727671205
98873546363
103479138949
111525979650
128111a6719
13435a44300
142500cbacd
1515568aeb9
hexcf5f7285

3479138949 has 48 divisors (see below), whose sum is σ = 5562169344. Its totient is φ = 1917115200.

The previous prime is 3479138941. The next prime is 3479138969. The reversal of 3479138949 is 9498319743.

It is not a de Polignac number, because 3479138949 - 23 = 3479138941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3479138941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369004 + ... + 378314.

It is an arithmetic number, because the mean of its divisors is an integer number (115878528).

Almost surely, 23479138949 is an apocalyptic number.

3479138949 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3479138949 is a deficient number, since it is larger than the sum of its proper divisors (2083030395).

3479138949 is a wasteful number, since it uses less digits than its factorization.

3479138949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418 (or 9405 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 3479138949 is about 58984.2262727926. The cubic root of 3479138949 is about 1515.2719759184.

The spelling of 3479138949 in words is "three billion, four hundred seventy-nine million, one hundred thirty-eight thousand, nine hundred forty-nine".

Divisors: 1 3 11 13 33 39 67 143 169 201 429 507 737 871 1859 2211 2613 5577 9311 9581 11323 27933 28743 33969 102421 121043 124553 307263 363129 373659 623837 1331473 1573559 1871511 3994419 4720677 6862207 8109881 17309149 20586621 24329643 51927447 89208691 105428453 267626073 316285359 1159712983 3479138949