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3406123044 = 22327121372
BaseRepresentation
bin1100101100000101…
…0101000000100100
322210101012222102100
43023001111000210
523433431414134
61321553012100
7150256365612
oct31301250044
98711188370
103406123044
111498738725
127b0854030
1342388ab2c
142445226b2
1514e066999
hexcb055024

3406123044 has 81 divisors (see below), whose sum is σ = 8797105681. Its totient is φ = 1111212480.

The previous prime is 3406123037. The next prime is 3406123057. The reversal of 3406123044 is 4403216043.

The square root of 3406123044 is 58362.

It is a perfect power (a square), and thus also a powerful number.

3406123044 is a `hidden beast` number, since 3 + 4 + 0 + 612 + 3 + 0 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2000772900 + 1405350144 = 44730^2 + 37488^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3406122999 and 3406123017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24862144 + ... + 24862280.

Almost surely, 23406123044 is an apocalyptic number.

3406123044 is the 58362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406123044

3406123044 is an abundant number, since it is smaller than the sum of its proper divisors (5390982637).

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

3406123044 is a wasteful number, since it uses less digits than its factorization.

3406123044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The cubic root of 3406123044 is about 1504.5967203851.

Adding to 3406123044 its reverse (4403216043), we get a palindrome (7809339087).

The spelling of 3406123044 in words is "three billion, four hundred six million, one hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 137 142 213 274 284 411 426 548 639 822 852 1233 1278 1644 2466 2556 4932 5041 9727 10082 15123 18769 19454 20164 29181 30246 37538 38908 45369 56307 58362 60492 75076 87543 90738 112614 116724 168921 175086 181476 225228 337842 350172 675684 690617 1332599 1381234 2071851 2665198 2762468 3997797 4143702 5330396 6215553 7995594 8287404 11993391 12431106 15991188 23986782 24862212 47973564 94614529 189229058 283843587 378458116 567687174 851530761 1135374348 1703061522 3406123044