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3009040 = 245291297
BaseRepresentation
bin1011011110101000010000
312122212121221
423132220100
51232242130
6144254424
734401466
oct13365020
95585557
103009040
111775811
121011414
138147c8
14584836
153e687a
hex2dea10

3009040 has 40 divisors (see below), whose sum is σ = 7242840. Its totient is φ = 1161216.

The previous prime is 3009023. The next prime is 3009043. The reversal of 3009040 is 409003.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 1763584 = 1116^2 + 1328^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3009043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1672 + ... + 2968.

It is an arithmetic number, because the mean of its divisors is an integer number (181071).

Almost surely, 23009040 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 3009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621420).

3009040 is an abundant number, since it is smaller than the sum of its proper divisors (4233800).

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

3009040 is a wasteful number, since it uses less digits than its factorization.

3009040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3009040 is about 1734.6584678259. The cubic root of 3009040 is about 144.3696777209.

The spelling of 3009040 in words is "three million, nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1297 2320 2594 5188 6485 10376 12970 20752 25940 37613 51880 75226 103760 150452 188065 300904 376130 601808 752260 1504520 3009040