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3084672 = 27329277
BaseRepresentation
bin1011110001000110000000
312210201101010
423301012000
51242202142
6150040520
735135133
oct13610600
95721333
103084672
111817618
121049140
13840066
145a421a
1540de9c
hex2f1180

3084672 has 64 divisors (see below), whose sum is σ = 8506800. Its totient is φ = 989184.

The previous prime is 3084649. The next prime is 3084673. The reversal of 3084672 is 2764803.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10998 + ... + 11274.

Almost surely, 23084672 is an apocalyptic number.

3084672 is a gapful number since it is divisible by the number (32) 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 3084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253400).

3084672 is an abundant number, since it is smaller than the sum of its proper divisors (5422128).

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

3084672 is a wasteful number, since it uses less digits than its factorization.

3084672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3084672 is about 1756.3234326285. The cubic root of 3084672 is about 145.5692564804.

The spelling of 3084672 in words is "three million, eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 277 348 384 464 554 696 831 928 1108 1392 1662 1856 2216 2784 3324 3712 4432 5568 6648 8033 8864 11136 13296 16066 17728 24099 26592 32132 35456 48198 53184 64264 96396 106368 128528 192792 257056 385584 514112 771168 1028224 1542336 3084672