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3019072 = 26723293
BaseRepresentation
bin1011100001000101000000
312200101101111
423201011000
51233102242
6144413104
734442650
oct13410500
95611344
103019072
111782301
121017194
13819244
14588360
153e9817
hex2e1140

3019072 has 56 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 1233408.

The previous prime is 3019067. The next prime is 3019091. The reversal of 3019072 is 2709103.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×30190722 = 18229591482368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10158 + ... + 10450.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 23019072 is an apocalyptic number.

3019072 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 3019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

3019072 is an abundant number, since it is smaller than the sum of its proper divisors (4149824).

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

3019072 is a wasteful number, since it uses less digits than its factorization.

3019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 3019072 is about 1737.5476971870. The cubic root of 3019072 is about 144.5299403563.

The spelling of 3019072 in words is "three million, nineteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 293 322 368 448 586 644 736 1172 1288 1472 2051 2344 2576 4102 4688 5152 6739 8204 9376 10304 13478 16408 18752 26956 32816 47173 53912 65632 94346 107824 131264 188692 215648 377384 431296 754768 1509536 3019072