Search a number
-
+
3422042112 = 21131394007
BaseRepresentation
bin1100101111111000…
…0011100000000000
322211111011202021110
43023332003200000
524002020321422
61323322123320
7150541610106
oct31376034000
98744152243
103422042112
1114a6720985
127b6050540
13426c728b8
142466a7c76
1515065d60c
hexcbf83800

3422042112 has 96 divisors (see below), whose sum is σ = 9191145600. Its totient is φ = 1132191744.

The previous prime is 3422042093. The next prime is 3422042153. The reversal of 3422042112 is 2112402243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852013 + ... + 856019.

It is an arithmetic number, because the mean of its divisors is an integer number (95741100).

Almost surely, 23422042112 is an apocalyptic number.

3422042112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595572800).

3422042112 is an abundant number, since it is smaller than the sum of its proper divisors (5769103488).

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

3422042112 is a wasteful number, since it uses less digits than its factorization.

3422042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3422042112 is about 58498.2231525027. The cubic root of 3422042112 is about 1506.9370703577.

Adding to 3422042112 its reverse (2112402243), we get a palindrome (5534444355).

The spelling of 3422042112 in words is "three billion, four hundred twenty-two million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 768 834 1024 1112 1536 1668 2048 2224 3072 3336 4007 4448 6144 6672 8014 8896 12021 13344 16028 17792 24042 26688 32056 35584 48084 53376 64112 71168 96168 106752 128224 142336 192336 213504 256448 284672 384672 427008 512896 556973 769344 854016 1025792 1113946 1538688 1670919 2051584 2227892 3077376 3341838 4103168 4455784 6154752 6683676 8206336 8911568 12309504 13367352 17823136 24619008 26734704 35646272 53469408 71292544 106938816 142585088 213877632 285170176 427755264 570340352 855510528 1140680704 1711021056 3422042112