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3540040 = 235747269
BaseRepresentation
bin1101100000010001001000
320122212000121
431200101020
51401240130
6203513024
742042550
oct15402110
96585017
103540040
111aa8759
121228774
1396c3ca
14682160
1549dd7a
hex360448

3540040 has 64 divisors (see below), whose sum is σ = 9331200. Its totient is φ = 1183488.

The previous prime is 3539971. The next prime is 3540041. The reversal of 3540040 is 400453.

It is a junction number, because it is equal to n+sod(n) for n = 3539996 and 3540023.

It is not an unprimeable number, because it can be changed into a prime (3540041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13026 + ... + 13294.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

Almost surely, 23540040 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 3540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665600).

3540040 is an abundant number, since it is smaller than the sum of its proper divisors (5791160).

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

3540040 is a wasteful number, since it uses less digits than its factorization.

3540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3540040 is about 1881.4994020727. The cubic root of 3540040 is about 152.4062309873.

Adding to 3540040 its reverse (400453), we get a palindrome (3940493).

The spelling of 3540040 in words is "three million, five hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 269 280 329 376 470 538 658 940 1076 1316 1345 1645 1880 1883 2152 2632 2690 3290 3766 5380 6580 7532 9415 10760 12643 13160 15064 18830 25286 37660 50572 63215 75320 88501 101144 126430 177002 252860 354004 442505 505720 708008 885010 1770020 3540040