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3438340444 = 2271153210631
BaseRepresentation
bin1100110011110000…
…1110100101011100
322212121211210101101
43030330032211130
524020203343234
61325103322444
7151130261110
oct31474164534
98777753341
103438340444
111504943080
127bb5b0424
1342a45b196
1424890b740
15151ccc814
hexccf0e95c

3438340444 has 48 divisors (see below), whose sum is σ = 7643414016. Its totient is φ = 1314331200.

The previous prime is 3438340429. The next prime is 3438340459. The reversal of 3438340444 is 4440438343.

It is an interprime number because it is at equal distance from previous prime (3438340429) and next prime (3438340459).

It is a super-2 number, since 2×34383404442 = 23644370017692234272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 88992 + ... + 121639.

It is an arithmetic number, because the mean of its divisors is an integer number (159237792).

Almost surely, 23438340444 is an apocalyptic number.

It is an amenable number.

3438340444 is an abundant number, since it is smaller than the sum of its proper divisors (4205073572).

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

3438340444 is a wasteful number, since it uses less digits than its factorization.

3438340444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210706 (or 210704 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

The square root of 3438340444 is about 58637.3638902705. The cubic root of 3438340444 is about 1509.3256705735.

Adding to 3438340444 its reverse (4440438343), we get a palindrome (7878778787).

The spelling of 3438340444 in words is "three billion, four hundred thirty-eight million, three hundred forty thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 154 212 308 371 583 742 1166 1484 2332 4081 8162 16324 210631 421262 842524 1474417 2316941 2948834 4633882 5897668 9267764 11163443 16218587 22326886 32437174 44653772 64874348 78144101 122797873 156288202 245595746 312576404 491191492 859585111 1719170222 3438340444