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3011424 = 2531319127
BaseRepresentation
bin1011011111001101100000
312122222220020
423133031200
51232331144
6144313440
734411443
oct13371540
95588806
103011424
111777589
121012880
13815910
1458565a
153e7419
hex2df360

3011424 has 96 divisors (see below), whose sum is σ = 9031680. Its totient is φ = 870912.

The previous prime is 3011399. The next prime is 3011429. The reversal of 3011424 is 4241103.

3011424 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23649 + ... + 23775.

It is an arithmetic number, because the mean of its divisors is an integer number (94080).

Almost surely, 23011424 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 3011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840).

3011424 is an abundant number, since it is smaller than the sum of its proper divisors (6020256).

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

3011424 is a wasteful number, since it uses less digits than its factorization.

3011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3011424 is about 1735.3454987408. The cubic root of 3011424 is about 144.4077946903.

Adding to 3011424 its reverse (4241103), we get a palindrome (7252527).

The spelling of 3011424 in words is "three million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 127 152 156 208 228 247 254 304 312 381 416 456 494 508 608 624 741 762 912 988 1016 1248 1482 1524 1651 1824 1976 2032 2413 2964 3048 3302 3952 4064 4826 4953 5928 6096 6604 7239 7904 9652 9906 11856 12192 13208 14478 19304 19812 23712 26416 28956 31369 38608 39624 52832 57912 62738 77216 79248 94107 115824 125476 158496 188214 231648 250952 376428 501904 752856 1003808 1505712 3011424