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3035040 = 25356323
BaseRepresentation
bin1011100100111110100000
312201012021220
423210332200
51234110130
6145015040
734540341
oct13447640
95635256
103035040
1117932a8
121024480
138235a8
145900c8
153ee410
hex2e4fa0

3035040 has 48 divisors (see below), whose sum is σ = 9561888. Its totient is φ = 809216.

The previous prime is 3035029. The next prime is 3035047. The reversal of 3035040 is 405303.

3035040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×30350402 = 18422935603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3035047) by changing a digit.

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, 2682 + ... + 3641.

It is an arithmetic number, because the mean of its divisors is an integer number (199206).

Almost surely, 23035040 is an apocalyptic number.

3035040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3035040 is an abundant number, since it is smaller than the sum of its proper divisors (6526848).

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

3035040 is a wasteful number, since it uses less digits than its factorization.

3035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3035040 is about 1742.1366192122. The cubic root of 3035040 is about 144.7843007714.

The spelling of 3035040 in words is "three million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6323 12646 18969 25292 31615 37938 50584 63230 75876 94845 101168 126460 151752 189690 202336 252920 303504 379380 505840 607008 758760 1011680 1517520 3035040