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3086208 = 27331947
BaseRepresentation
bin1011110001011110000000
312210210111000
423301132000
51242224313
6150052000
735142456
oct13613600
95723430
103086208
111818794
12104a000
13840978
145a49d6
1540e673
hex2f1780

3086208 has 128 divisors (see below), whose sum is σ = 9792000. Its totient is φ = 953856.

The previous prime is 3086191. The next prime is 3086219. The reversal of 3086208 is 8026803.

3086208 is a `hidden beast` number, since 30 + 8 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×30862083 = 88185429166953332736, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 65641 + ... + 65687.

It is an arithmetic number, because the mean of its divisors is an integer number (76500).

Almost surely, 23086208 is an apocalyptic number.

3086208 is a gapful number since it is divisible by the number (38) 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 3086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896000).

3086208 is an abundant number, since it is smaller than the sum of its proper divisors (6705792).

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

3086208 is a wasteful number, since it uses less digits than its factorization.

3086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3086208 is about 1756.7606552971. The cubic root of 3086208 is about 145.5934143461.

The spelling of 3086208 in words is "three million, eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 47 48 54 57 64 72 76 94 96 108 114 128 141 144 152 171 188 192 216 228 282 288 304 342 376 384 423 432 456 513 564 576 608 684 752 846 864 893 912 1026 1128 1152 1216 1269 1368 1504 1692 1728 1786 1824 2052 2256 2432 2538 2679 2736 3008 3384 3456 3572 3648 4104 4512 5076 5358 5472 6016 6768 7144 7296 8037 8208 9024 10152 10716 10944 13536 14288 16074 16416 18048 20304 21432 21888 24111 27072 28576 32148 32832 40608 42864 48222 54144 57152 64296 65664 81216 85728 96444 114304 128592 162432 171456 192888 257184 342912 385776 514368 771552 1028736 1543104 3086208