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3074688 = 273217157
BaseRepresentation
bin1011101110101010000000
312210012200100
423232222000
51241342223
6145522400
735064051
oct13565200
95705610
103074688
111810071
121043400
13838656
145a0728
1540b043
hex2eea80

3074688 has 96 divisors (see below), whose sum is σ = 9427860. Its totient is φ = 958464.

The previous prime is 3074681. The next prime is 3074699. The reversal of 3074688 is 8864703.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 5184 = 1752^2 + 72^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (3074681) 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, 19506 + ... + 19662.

Almost surely, 23074688 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 3074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713930).

3074688 is an abundant number, since it is smaller than the sum of its proper divisors (6353172).

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

3074688 is a wasteful number, since it uses less digits than its factorization.

3074688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

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

The square root of 3074688 is about 1753.4788279304. The cubic root of 3074688 is about 145.4120345466.

The spelling of 3074688 in words is "three million, seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 157 192 204 272 288 306 314 384 408 471 544 576 612 628 816 942 1088 1152 1224 1256 1413 1632 1884 2176 2448 2512 2669 2826 3264 3768 4896 5024 5338 5652 6528 7536 8007 9792 10048 10676 11304 15072 16014 19584 20096 21352 22608 24021 30144 32028 42704 45216 48042 60288 64056 85408 90432 96084 128112 170816 180864 192168 256224 341632 384336 512448 768672 1024896 1537344 3074688