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3380700 = 2235259191
BaseRepresentation
bin1100111001010111011100
320100202110010
430321113130
51331140300
6200243220
740510161
oct14712734
96322403
103380700
1119a9a74
121170510
13914a1b
14640068
1546ba50
hex3395dc

3380700 has 72 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 881600.

The previous prime is 3380687. The next prime is 3380723. The reversal of 3380700 is 70833.

It is a super-2 number, since 2×33807002 = 22858264980000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17605 + ... + 17795.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

Almost surely, 23380700 is an apocalyptic number.

3380700 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 3380700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3380700 is an abundant number, since it is smaller than the sum of its proper divisors (6618660).

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

3380700 is a wasteful number, since it uses less digits than its factorization.

3380700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3380700 is about 1838.6679961320. The cubic root of 3380700 is about 150.0843969499.

The spelling of 3380700 in words is "three million, three hundred eighty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 191 236 295 300 354 382 573 590 708 764 885 955 1146 1180 1475 1770 1910 2292 2865 2950 3540 3820 4425 4775 5730 5900 8850 9550 11269 11460 14325 17700 19100 22538 28650 33807 45076 56345 57300 67614 112690 135228 169035 225380 281725 338070 563450 676140 845175 1126900 1690350 3380700