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3371680 = 255131621
BaseRepresentation
bin1100110111001010100000
320100022002001
430313022200
51330343210
6200133344
740441654
oct14671240
96308061
103371680
1119a3214
121167254
139108a0
1463aa64
1546903a
hex3372a0

3371680 has 48 divisors (see below), whose sum is σ = 8583624. Its totient is φ = 1244160.

The previous prime is 3371671. The next prime is 3371747. The reversal of 3371680 is 861733.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 824464 = 1596^2 + 908^2 .

It is a super-2 number, since 2×33716802 = 22736452044800, which contains 22 as substring.

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, 1270 + ... + 2890.

Almost surely, 23371680 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 3371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291812).

3371680 is an abundant number, since it is smaller than the sum of its proper divisors (5211944).

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

3371680 is a wasteful number, since it uses less digits than its factorization.

3371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 3371680 is about 1836.2134952124. The cubic root of 3371680 is about 149.9507986781.

The spelling of 3371680 in words is "three million, three hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1621 2080 3242 6484 8105 12968 16210 21073 25936 32420 42146 51872 64840 84292 105365 129680 168584 210730 259360 337168 421460 674336 842920 1685840 3371680