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3301111424 = 27134394519
BaseRepresentation
bin1100010011000010…
…1111011010000000
322112001121211120002
43010300233122000
523230041031144
61303322135132
7144542661362
oct30460573200
98461554502
103301111424
111444433966
127816514a8
13407bb1190
142345c8d32
15144c2214e
hexc4c2f680

3301111424 has 64 divisors (see below), whose sum is σ = 7100016000. Its totient is φ = 1519782912.

The previous prime is 3301111403. The next prime is 3301111453. The reversal of 3301111424 is 4241111033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3301111396 and 3301111405.

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, 728237 + ... + 732755.

It is an arithmetic number, because the mean of its divisors is an integer number (110937750).

Almost surely, 23301111424 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 3301111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550008000).

3301111424 is an abundant number, since it is smaller than the sum of its proper divisors (3798904576).

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

3301111424 is a wasteful number, since it uses less digits than its factorization.

3301111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3301111424 is about 57455.2993552379. The cubic root of 3301111424 is about 1488.9726750239.

Adding to 3301111424 its reverse (4241111033), we get a palindrome (7542222457).

The spelling of 3301111424 in words is "three billion, three hundred one million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 439 832 878 1664 1756 3512 4519 5707 7024 9038 11414 14048 18076 22828 28096 36152 45656 56192 58747 72304 91312 117494 144608 182624 234988 289216 365248 469976 578432 730496 939952 1879904 1983841 3759808 3967682 7519616 7935364 15870728 25789933 31741456 51579866 63482912 103159732 126965824 206319464 253931648 412638928 825277856 1650555712 3301111424