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3681240 = 233530677
BaseRepresentation
bin1110000010101111011000
320221000201020
432002233120
51420244430
6210522440
743201323
oct16025730
96830636
103681240
112094852
121296420
139bb764
146bb7ba
154cab10
hex382bd8

3681240 has 32 divisors (see below), whose sum is σ = 11044080. Its totient is φ = 981632.

The previous prime is 3681239. The next prime is 3681253. The reversal of 3681240 is 421863.

It is a happy number.

3681240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3681240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15219 + ... + 15458.

Almost surely, 23681240 is an apocalyptic number.

3681240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3681240 is an abundant number, since it is smaller than the sum of its proper divisors (7362840).

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

3681240 is a wasteful number, since it uses less digits than its factorization.

3681240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30691 (or 30687 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3681240 is about 1918.6557794456. The cubic root of 3681240 is about 154.4061914168.

The spelling of 3681240 in words is "three million, six hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 30677 61354 92031 122708 153385 184062 245416 306770 368124 460155 613540 736248 920310 1227080 1840620 3681240