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3422011124 = 2271743316603
BaseRepresentation
bin1100101111110111…
…1011111011110100
322211111010011202202
43023331323323310
524002013323444
61323321324032
7150541420550
oct31375737364
98744104682
103422011124
1114a66aa674
127b6036618
13426c6176c
1424669a860
1515065434e
hexcbf7bef4

3422011124 has 48 divisors (see below), whose sum is σ = 7263785088. Its totient is φ = 1377036288.

The previous prime is 3422011121. The next prime is 3422011133. The reversal of 3422011124 is 4211102243.

It is a junction number, because it is equal to n+sod(n) for n = 3422011096 and 3422011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197807 + ... + 214409.

It is an arithmetic number, because the mean of its divisors is an integer number (151328856).

Almost surely, 23422011124 is an apocalyptic number.

3422011124 is a gapful number since it is divisible by the number (34) 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 3422011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631892544).

3422011124 is an abundant number, since it is smaller than the sum of its proper divisors (3841773964).

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

3422011124 is a wasteful number, since it uses less digits than its factorization.

3422011124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17064 (or 17062 counting only the distinct ones).

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

The square root of 3422011124 is about 58497.9582891574. The cubic root of 3422011124 is about 1506.9325216988.

Adding to 3422011124 its reverse (4211102243), we get a palindrome (7633113367).

The spelling of 3422011124 in words is "three billion, four hundred twenty-two million, eleven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 433 476 866 1732 3031 6062 7361 12124 14722 16603 29444 33206 51527 66412 103054 116221 206108 232442 282251 464884 564502 1129004 1975757 3951514 7189099 7903028 14378198 28756396 50323693 100647386 122214683 201294772 244429366 488858732 855502781 1711005562 3422011124