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3662480 = 245172693
BaseRepresentation
bin1101111110001010010000
320220001222102
431332022100
51414144410
6210255532
743062533
oct15761220
96801872
103662480
112081748
1212875a8
139b3063
146b4a1a
154c52a5
hex37e290

3662480 has 40 divisors (see below), whose sum is σ = 9019512. Its totient is φ = 1378304.

The previous prime is 3662473. The next prime is 3662521. The reversal of 3662480 is 842663.

3662480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 3041536 = 788^2 + 1744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 14 + ... + 2706.

Almost surely, 23662480 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 3662480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509756).

3662480 is an abundant number, since it is smaller than the sum of its proper divisors (5357032).

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

3662480 is a wasteful number, since it uses less digits than its factorization.

3662480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3662480 is about 1913.7606955939. The cubic root of 3662480 is about 154.1434543414.

The spelling of 3662480 in words is "three million, six hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2693 5386 10772 13465 21544 26930 43088 45781 53860 91562 107720 183124 215440 228905 366248 457810 732496 915620 1831240 3662480