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3348020 = 2251379163
BaseRepresentation
bin1100110001011000110100
320022002121202
430301120310
51324114040
6155432032
740312664
oct14613064
96262552
103348020
111987465
121155618
13902ba0
146321a4
15462015
hex331634

3348020 has 48 divisors (see below), whose sum is σ = 7714560. Its totient is φ = 1213056.

The previous prime is 3348017. The next prime is 3348029. The reversal of 3348020 is 208433.

It is a super-2 number, since 2×33480202 = 22418475840800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3347983 and 3348001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3348029) 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, 20459 + ... + 20621.

It is an arithmetic number, because the mean of its divisors is an integer number (160720).

Almost surely, 23348020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3348020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857280).

3348020 is an abundant number, since it is smaller than the sum of its proper divisors (4366540).

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

3348020 is a wasteful number, since it uses less digits than its factorization.

3348020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3348020 is about 1829.7595470444. The cubic root of 3348020 is about 149.5992264537.

The spelling of 3348020 in words is "three million, three hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 163 260 316 326 395 652 790 815 1027 1580 1630 2054 2119 3260 4108 4238 5135 8476 10270 10595 12877 20540 21190 25754 42380 51508 64385 128770 167401 257540 334802 669604 837005 1674010 3348020