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3349100 = 2252107313
BaseRepresentation
bin1100110001101001101100
320022011002202
430301221230
51324132400
6155441032
740316066
oct14615154
96264082
103349100
111988257
121156178
13903521
14632736
154624d5
hex331a6c

3349100 has 36 divisors (see below), whose sum is σ = 7358904. Its totient is φ = 1322880.

The previous prime is 3349097. The next prime is 3349103. The reversal of 3349100 is 19433.

3349100 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3349097) and next prime (3349103).

It is a super-2 number, since 2×33491002 = 22432941620000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3349103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10544 + ... + 10856.

It is an arithmetic number, because the mean of its divisors is an integer number (204414).

Almost surely, 23349100 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 3349100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679452).

3349100 is an abundant number, since it is smaller than the sum of its proper divisors (4009804).

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

3349100 is a wasteful number, since it uses less digits than its factorization.

3349100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3349100 is about 1830.0546439929. The cubic root of 3349100 is about 149.6153105666.

The spelling of 3349100 in words is "three million, three hundred forty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 313 428 535 626 1070 1252 1565 2140 2675 3130 5350 6260 7825 10700 15650 31300 33491 66982 133964 167455 334910 669820 837275 1674550 3349100