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3340480 = 265111373
BaseRepresentation
bin1100101111100011000000
320021201021111
430233203000
51323343410
6155333104
740252003
oct14574300
96251244
103340480
111981830
121151194
138cc620
1462d53a
1545eb8a
hex32f8c0

3340480 has 112 divisors (see below), whose sum is σ = 9473184. Its totient is φ = 1105920.

The previous prime is 3340459. The next prime is 3340487. The reversal of 3340480 is 840433.

It is a super-2 number, since 2×33404802 = 22317613260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3340487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45724 + ... + 45796.

It is an arithmetic number, because the mean of its divisors is an integer number (84582).

Almost surely, 23340480 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 3340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736592).

3340480 is an abundant number, since it is smaller than the sum of its proper divisors (6132704).

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

3340480 is a wasteful number, since it uses less digits than its factorization.

3340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3340480 is about 1827.6980056891. The cubic root of 3340480 is about 149.4868390334.

The spelling of 3340480 in words is "three million, three hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 73 80 88 104 110 130 143 146 160 176 208 220 260 286 292 320 352 365 416 440 520 572 584 704 715 730 803 832 880 949 1040 1144 1168 1430 1460 1606 1760 1898 2080 2288 2336 2860 2920 3212 3520 3796 4015 4160 4576 4672 4745 5720 5840 6424 7592 8030 9152 9490 10439 11440 11680 12848 15184 16060 18980 20878 22880 23360 25696 30368 32120 37960 41756 45760 51392 52195 60736 64240 75920 83512 104390 128480 151840 167024 208780 256960 303680 334048 417560 668096 835120 1670240 3340480