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3442012112 = 2471113720393
BaseRepresentation
bin1100110100101000…
…1110111111010000
322212212202022222002
43031022032333100
524022123341422
61325314133132
7151203422510
oct31512167720
98785668862
103442012112
111506a20710
128008811a8
1342b145476
142491c5840
151522a5692
hexcd28efd0

3442012112 has 80 divisors (see below), whose sum is σ = 8375571072. Its totient is φ = 1331189760.

The previous prime is 3442012109. The next prime is 3442012129. The reversal of 3442012112 is 2112102443.

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, 158588 + ... + 178980.

Almost surely, 23442012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187785536).

3442012112 is an abundant number, since it is smaller than the sum of its proper divisors (4933558960).

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

3442012112 is a wasteful number, since it uses less digits than its factorization.

3442012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20556 (or 20550 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3442012112 is about 58668.6637993401. The cubic root of 3442012112 is about 1509.8627292140.

Adding to 3442012112 its reverse (2112102443), we get a palindrome (5554114555).

The spelling of 3442012112 in words is "three billion, four hundred forty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 137 154 176 274 308 548 616 959 1096 1232 1507 1918 2192 3014 3836 6028 7672 10549 12056 15344 20393 21098 24112 40786 42196 81572 84392 142751 163144 168784 224323 285502 326288 448646 571004 897292 1142008 1570261 1794584 2284016 2793841 3140522 3589168 5587682 6281044 11175364 12562088 19556887 22350728 25124176 30732251 39113774 44701456 61464502 78227548 122929004 156455096 215125757 245858008 312910192 430251514 491716016 860503028 1721006056 3442012112