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3322890 = 233531397
BaseRepresentation
bin1100101011010000001010
320020211011000
430223100022
51322313030
6155115430
740146504
oct14532012
96224130
103322890
11196a59a
121142b76
138c460c
14626d74
15459860
hex32b40a

3322890 has 64 divisors (see below), whose sum is σ = 9169920. Its totient is φ = 855360.

The previous prime is 3322889. The next prime is 3322897. The reversal of 3322890 is 982233.

It is a super-2 number, since 2×33228902 = 22083195904200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8172 + ... + 8568.

It is an arithmetic number, because the mean of its divisors is an integer number (143280).

Almost surely, 23322890 is an apocalyptic number.

3322890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584960).

3322890 is an abundant number, since it is smaller than the sum of its proper divisors (5847030).

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

3322890 is a wasteful number, since it uses less digits than its factorization.

3322890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3322890 is about 1822.8795900991. The cubic root of 3322890 is about 149.2239923370.

The spelling of 3322890 in words is "three million, three hundred twenty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 397 465 558 794 837 930 1191 1395 1674 1985 2382 2790 3573 3970 4185 5955 7146 8370 10719 11910 12307 17865 21438 24614 35730 36921 53595 61535 73842 107190 110763 123070 184605 221526 332289 369210 553815 664578 1107630 1661445 3322890