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3085376 = 2677197
BaseRepresentation
bin1011110001010001000000
312210202100012
423301101000
51242213001
6150044052
735140160
oct13612100
95722305
103085376
1118180a8
121049628
13840488
145a45a0
1540e2bb
hex2f1440

3085376 has 56 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 1290240.

The previous prime is 3085367. The next prime is 3085403. The reversal of 3085376 is 6735803.

It is a happy number.

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

It is a super-2 number, since 2×30853762 = 19039090122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31760 + ... + 31856.

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

Almost surely, 23085376 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 3085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

3085376 is an abundant number, since it is smaller than the sum of its proper divisors (4083520).

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

3085376 is an equidigital number, since it uses as much as digits as its factorization.

3085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3085376 is about 1756.5238398610. The cubic root of 3085376 is about 145.5803298308.

The spelling of 3085376 in words is "three million, eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 97 112 142 194 224 284 388 448 497 568 679 776 994 1136 1358 1552 1988 2272 2716 3104 3976 4544 5432 6208 6887 7952 10864 13774 15904 21728 27548 31808 43456 48209 55096 96418 110192 192836 220384 385672 440768 771344 1542688 3085376