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3326940 = 2233561101
BaseRepresentation
bin1100101100001111011100
320021000201000
430230033130
51322430230
6155150300
740164351
oct14541734
96230630
103326940
111972641
121145390
138c6406
14628628
1545ab60
hex32c3dc

3326940 has 96 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 864000.

The previous prime is 3326933. The next prime is 3326941. The reversal of 3326940 is 496233.

It is a super-2 number, since 2×33269402 = 22137059527200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 (3326941) 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, 32890 + ... + 32990.

It is an arithmetic number, because the mean of its divisors is an integer number (110670).

Almost surely, 23326940 is an apocalyptic number.

3326940 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 3326940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

3326940 is an abundant number, since it is smaller than the sum of its proper divisors (7297380).

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

3326940 is a wasteful number, since it uses less digits than its factorization.

3326940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3326940 is about 1823.9901315523. The cubic root of 3326940 is about 149.2845933802.

The spelling of 3326940 in words is "three million, three hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 101 108 122 135 180 183 202 244 270 303 305 366 404 505 540 549 606 610 732 909 915 1010 1098 1212 1220 1515 1647 1818 1830 2020 2196 2727 2745 3030 3294 3636 3660 4545 5454 5490 6060 6161 6588 8235 9090 10908 10980 12322 13635 16470 18180 18483 24644 27270 30805 32940 36966 54540 55449 61610 73932 92415 110898 123220 166347 184830 221796 277245 332694 369660 554490 665388 831735 1108980 1663470 3326940