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3344820 = 2235107521
BaseRepresentation
bin1100110000100110110100
320021221020020
430300212310
51324013240
6155405140
740300443
oct14604664
96257206
103344820
111985016
1211537b0
139015ab
14630d5a
154610d0
hex3309b4

3344820 has 48 divisors (see below), whose sum is σ = 9471168. Its totient is φ = 881920.

The previous prime is 3344819. The next prime is 3344827. The reversal of 3344820 is 284433.

3344820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33448202 = 22375641664800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344827) 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, 6160 + ... + 6680.

It is an arithmetic number, because the mean of its divisors is an integer number (197316).

Almost surely, 23344820 is an apocalyptic number.

3344820 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 3344820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735584).

3344820 is an abundant number, since it is smaller than the sum of its proper divisors (6126348).

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

3344820 is a wasteful number, since it uses less digits than its factorization.

3344820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3344820 is about 1828.8849061655. The cubic root of 3344820 is about 149.5515495060.

The spelling of 3344820 in words is "three million, three hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 521 535 642 1042 1070 1284 1563 1605 2084 2140 2605 3126 3210 5210 6252 6420 7815 10420 15630 31260 55747 111494 167241 222988 278735 334482 557470 668964 836205 1114940 1672410 3344820