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3320040 = 233573379
BaseRepresentation
bin1100101010100011101000
320020200020110
430222203220
51322220130
6155054320
740135263
oct14524350
96220213
103320040
111968439
1211413a0
138c3229
14625cda
15458ab0
hex32a8e8

3320040 has 64 divisors (see below), whose sum is σ = 10123200. Its totient is φ = 870912.

The previous prime is 3320029. The next prime is 3320059. The reversal of 3320040 is 400233.

It is a super-2 number, since 2×33200402 = 22045331203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3319998 and 3320025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8571 + ... + 8949.

It is an arithmetic number, because the mean of its divisors is an integer number (158175).

Almost surely, 23320040 is an apocalyptic number.

3320040 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 3320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061600).

3320040 is an abundant number, since it is smaller than the sum of its proper divisors (6803160).

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

3320040 is a wasteful number, since it uses less digits than its factorization.

3320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3320040 is about 1822.0976922218. The cubic root of 3320040 is about 149.1813176348.

Adding to 3320040 its reverse (400233), we get a palindrome (3720273).

The spelling of 3320040 in words is "three million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 379 438 584 730 758 876 1095 1137 1460 1516 1752 1895 2190 2274 2920 3032 3790 4380 4548 5685 7580 8760 9096 11370 15160 22740 27667 45480 55334 83001 110668 138335 166002 221336 276670 332004 415005 553340 664008 830010 1106680 1660020 3320040