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3290920 = 235292837
BaseRepresentation
bin1100100011011100101000
320012012021221
430203130220
51320302140
6154311424
736654343
oct14433450
96165257
103290920
111948576
121128574
138b2bb9
1461945a
1545014a
hex323728

3290920 has 32 divisors (see below), whose sum is σ = 7662600. Its totient is φ = 1270528.

The previous prime is 3290887. The next prime is 3290927. The reversal of 3290920 is 290923.

It can be written as a sum of positive squares in 4 ways, for example, as 1758276 + 1532644 = 1326^2 + 1238^2 .

It is not an unprimeable number, because it can be changed into a prime (3290927) 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, 259 + ... + 2578.

Almost surely, 23290920 is an apocalyptic number.

It is an amenable number.

3290920 is an abundant number, since it is smaller than the sum of its proper divisors (4371680).

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

3290920 is a wasteful number, since it uses less digits than its factorization.

3290920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 3290920 is about 1814.0893032042. The cubic root of 3290920 is about 148.7438808301.

Subtracting from 3290920 its sum of digits (25), we obtain a triangular number (3290895 = T2565).

The spelling of 3290920 in words is "three million, two hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2837 5674 11348 14185 22696 28370 56740 82273 113480 164546 329092 411365 658184 822730 1645460 3290920