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3086688 = 253113779
BaseRepresentation
bin1011110001100101100000
312210211010210
423301211200
51242233223
6150054120
735144043
oct13614540
95724123
103086688
111819090
12104a340
13840c57
145a4c5a
1540e893
hex2f1960

3086688 has 96 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 898560.

The previous prime is 3086653. The next prime is 3086693. The reversal of 3086688 is 8866803.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39033 + ... + 39111.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

Almost surely, 23086688 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 3086688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3086688 is an abundant number, since it is smaller than the sum of its proper divisors (6106272).

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

3086688 is a wasteful number, since it uses less digits than its factorization.

3086688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3086688 is about 1756.8972650670. The cubic root of 3086688 is about 145.6009620353.

It can be divided in two parts, 308 and 6688, that added together give a palindrome (6996).

The spelling of 3086688 in words is "three million, eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 79 88 96 111 132 148 158 176 222 237 264 296 316 352 407 444 474 528 592 632 814 869 888 948 1056 1184 1221 1264 1628 1738 1776 1896 2442 2528 2607 2923 3256 3476 3552 3792 4884 5214 5846 6512 6952 7584 8769 9768 10428 11692 13024 13904 17538 19536 20856 23384 27808 32153 35076 39072 41712 46768 64306 70152 83424 93536 96459 128612 140304 192918 257224 280608 385836 514448 771672 1028896 1543344 3086688