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3048768 = 26326779
BaseRepresentation
bin1011101000010101000000
312201220010100
423220111000
51240030033
6145202400
734625352
oct13502500
95656110
103048768
1117a2648
121030400
13829908
145950d2
15403513
hex2e8540

3048768 has 84 divisors (see below), whose sum is σ = 8981440. Its totient is φ = 988416.

The previous prime is 3048767. The next prime is 3048769. The reversal of 3048768 is 8678403.

It is an interprime number because it is at equal distance from previous prime (3048767) and next prime (3048769).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3048761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38553 + ... + 38631.

Almost surely, 23048768 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 3048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490720).

3048768 is an abundant number, since it is smaller than the sum of its proper divisors (5932672).

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

3048768 is a wasteful number, since it uses less digits than its factorization.

3048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3048768 is about 1746.0721634572. The cubic root of 3048768 is about 145.0022671068.

The spelling of 3048768 in words is "three million, forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 79 96 134 144 158 192 201 237 268 288 316 402 474 536 576 603 632 711 804 948 1072 1206 1264 1422 1608 1896 2144 2412 2528 2844 3216 3792 4288 4824 5056 5293 5688 6432 7584 9648 10586 11376 12864 15168 15879 19296 21172 22752 31758 38592 42344 45504 47637 63516 84688 95274 127032 169376 190548 254064 338752 381096 508128 762192 1016256 1524384 3048768