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3416672 = 25722179
BaseRepresentation
bin1101000010001001100000
320102120210102
431002021200
51333313142
6201121532
741020100
oct15021140
96376712
103416672
111a23aa6
1211892a8
139281cc
1464d200
15477532
hex342260

3416672 has 36 divisors (see below), whose sum is σ = 7828380. Its totient is φ = 1463616.

The previous prime is 3416663. The next prime is 3416683. The reversal of 3416672 is 2766143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 479 + ... + 2657.

It is an arithmetic number, because the mean of its divisors is an integer number (217455).

Almost surely, 23416672 is an apocalyptic number.

3416672 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 3416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914190).

3416672 is an abundant number, since it is smaller than the sum of its proper divisors (4411708).

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

3416672 is a wasteful number, since it uses less digits than its factorization.

3416672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2188 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 3416672 is about 1848.4241937391. The cubic root of 3416672 is about 150.6148393369.

The spelling of 3416672 in words is "three million, four hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2179 4358 8716 15253 17432 30506 34864 61012 69728 106771 122024 213542 244048 427084 488096 854168 1708336 3416672