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3380868 = 223293913
BaseRepresentation
bin1100111001011010000100
320100202200100
430321122010
51331141433
6200244100
740510521
oct14713204
96322610
103380868
1119aa107
121170630
13914b1a
14640148
1546bb13
hex339684

3380868 has 18 divisors (see below), whose sum is σ = 8546174. Its totient is φ = 1126944.

The previous prime is 3380863. The next prime is 3380869. The reversal of 3380868 is 8680833.

It can be written as a sum of positive squares in only one way, i.e., 3069504 + 311364 = 1752^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×33808683 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 93913 = 3380868 / (3 + 3 + 8 + 0 + 8 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (3380863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46921 + ... + 46992.

Almost surely, 23380868 is an apocalyptic number.

It is an amenable number.

3380868 is an abundant number, since it is smaller than the sum of its proper divisors (5165306).

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

3380868 is a wasteful number, since it uses less digits than its factorization.

3380868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93923 (or 93918 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3380868 is about 1838.7136808106. The cubic root of 3380868 is about 150.0868829992.

The spelling of 3380868 in words is "three million, three hundred eighty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 93913 187826 281739 375652 563478 845217 1126956 1690434 3380868