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3468150 = 233527367
BaseRepresentation
bin1101001110101101110110
320112012102000
431032231312
51341440100
6202200130
741323140
oct15165566
96465360
103468150
111a59744
1211b3046
1394577a
14663c90
15487900
hex34eb76

3468150 has 96 divisors (see below), whose sum is σ = 10951680. Its totient is φ = 790560.

The previous prime is 3468133. The next prime is 3468163. The reversal of 3468150 is 518643.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9267 + ... + 9633.

It is an arithmetic number, because the mean of its divisors is an integer number (114080).

Almost surely, 23468150 is an apocalyptic number.

3468150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475840).

3468150 is an abundant number, since it is smaller than the sum of its proper divisors (7483530).

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

3468150 is a wasteful number, since it uses less digits than its factorization.

3468150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3468150 is about 1862.2969687996. The cubic root of 3468150 is about 151.3674951610.

The spelling of 3468150 in words is "three million, four hundred sixty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 367 378 450 525 630 675 734 945 1050 1101 1350 1575 1835 1890 2202 2569 3150 3303 3670 4725 5138 5505 6606 7707 9175 9450 9909 11010 12845 15414 16515 18350 19818 23121 25690 27525 33030 38535 46242 49545 55050 64225 69363 77070 82575 99090 115605 128450 138726 165150 192675 231210 247725 346815 385350 495450 578025 693630 1156050 1734075 3468150