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3308040 = 233451021
BaseRepresentation
bin1100100111101000001000
320020001210000
430213220020
51321324130
6154523000
740055301
oct14475010
96201700
103308040
11195a41a
121136460
138ba928
146217a8
15455260
hex327a08

3308040 has 80 divisors (see below), whose sum is σ = 11129580. Its totient is φ = 881280.

The previous prime is 3308027. The next prime is 3308057. The reversal of 3308040 is 408033.

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 2916 = 1818^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2730 + ... + 3750.

Almost surely, 23308040 is an apocalyptic number.

3308040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3308040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564790).

3308040 is an abundant number, since it is smaller than the sum of its proper divisors (7821540).

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

3308040 is a wasteful number, since it uses less digits than its factorization.

3308040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3308040 is about 1818.8018033860. The cubic root of 3308040 is about 149.0013662923.

It can be divided in two parts, 3 and 308040, that multiplied together give a triangular number (924120 = T1359).

The spelling of 3308040 in words is "three million, three hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1021 1080 1620 2042 3063 3240 4084 5105 6126 8168 9189 10210 12252 15315 18378 20420 24504 27567 30630 36756 40840 45945 55134 61260 73512 82701 91890 110268 122520 137835 165402 183780 220536 275670 330804 367560 413505 551340 661608 827010 1102680 1654020 3308040