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3495040 = 27543127
BaseRepresentation
bin1101010101010010000000
320120120021221
431111102000
51343320130
6202524424
741464423
oct15252200
96516257
103495040
111a7796a
121206714
13954a93
1466d9ba
1549087a
hex355480

3495040 has 64 divisors (see below), whose sum is σ = 8616960. Its totient is φ = 1354752.

The previous prime is 3495017. The next prime is 3495043. The reversal of 3495040 is 405943.

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

It is a junction number, because it is equal to n+sod(n) for n = 3494996 and 3495014.

It is not an unprimeable number, because it can be changed into a prime (3495043) 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, 27457 + ... + 27583.

It is an arithmetic number, because the mean of its divisors is an integer number (134640).

Almost surely, 23495040 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 3495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308480).

3495040 is an abundant number, since it is smaller than the sum of its proper divisors (5121920).

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

3495040 is a wasteful number, since it uses less digits than its factorization.

3495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 3495040 is about 1869.5026076473. The cubic root of 3495040 is about 151.7576933478.

The spelling of 3495040 in words is "three million, four hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 127 128 160 172 215 254 320 344 430 508 635 640 688 860 1016 1270 1376 1720 2032 2540 2752 3440 4064 5080 5461 5504 6880 8128 10160 10922 13760 16256 20320 21844 27305 27520 40640 43688 54610 81280 87376 109220 174752 218440 349504 436880 699008 873760 1747520 3495040