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3365040 = 243572003
BaseRepresentation
bin1100110101100010110000
320022221222010
430311202300
51330140130
6200042520
740413420
oct14654260
96287863
103365040
111999228
121163440
1390a863
14638480
154670b0
hex3358b0

3365040 has 80 divisors (see below), whose sum is σ = 11927808. Its totient is φ = 768768.

The previous prime is 3365029. The next prime is 3365041. The reversal of 3365040 is 405633.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33650402 = 22646988403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3364998 and 3365016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365041) 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, 679 + ... + 2681.

Almost surely, 23365040 is an apocalyptic number.

3365040 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 3365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963904).

3365040 is an abundant number, since it is smaller than the sum of its proper divisors (8562768).

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

3365040 is a wasteful number, since it uses less digits than its factorization.

3365040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3365040 is about 1834.4045355373. The cubic root of 3365040 is about 149.8522990551.

The spelling of 3365040 in words is "three million, three hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2003 4006 6009 8012 10015 12018 14021 16024 20030 24036 28042 30045 32048 40060 42063 48072 56084 60090 70105 80120 84126 96144 112168 120180 140210 160240 168252 210315 224336 240360 280420 336504 420630 480720 560840 673008 841260 1121680 1682520 3365040