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3530240 = 2957197
BaseRepresentation
bin1101011101111000000000
320122100120122
431131320000
51400431430
6203355412
742002150
oct15357000
96570518
103530240
111aa135a
121222b68
13967acc
1467c760
1549aee5
hex35de00

3530240 has 80 divisors (see below), whose sum is σ = 9722592. Its totient is φ = 1204224.

The previous prime is 3530231. The next prime is 3530243. The reversal of 3530240 is 420353.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3530243) 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, 17822 + ... + 18018.

Almost surely, 23530240 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 3530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861296).

3530240 is an abundant number, since it is smaller than the sum of its proper divisors (6192352).

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

3530240 is an equidigital number, since it uses as much as digits as its factorization.

3530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 3530240 is about 1878.8932912755. The cubic root of 3530240 is about 152.2654640818.

Adding to 3530240 its reverse (420353), we get a palindrome (3950593).

The spelling of 3530240 in words is "three million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 197 224 256 280 320 394 448 512 560 640 788 896 985 1120 1280 1379 1576 1792 1970 2240 2560 2758 3152 3584 3940 4480 5516 6304 6895 7880 8960 11032 12608 13790 15760 17920 22064 25216 27580 31520 44128 50432 55160 63040 88256 100864 110320 126080 176512 220640 252160 353024 441280 504320 706048 882560 1765120 3530240