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3147930 = 233589131
BaseRepresentation
bin1100000000100010011010
312220221011000
430000202122
51301213210
6151245430
735520432
oct14004232
95827130
103147930
1118600a5
121079876
13862aa6
145bd2c2
15422ac0
hex30089a

3147930 has 64 divisors (see below), whose sum is σ = 8553600. Its totient is φ = 823680.

The previous prime is 3147929. The next prime is 3147953. The reversal of 3147930 is 397413.

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

It is a junction number, because it is equal to n+sod(n) for n = 3147894 and 3147903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23965 + ... + 24095.

It is an arithmetic number, because the mean of its divisors is an integer number (133650).

Almost surely, 23147930 is an apocalyptic number.

3147930 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 3147930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276800).

3147930 is an abundant number, since it is smaller than the sum of its proper divisors (5405670).

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

3147930 is a wasteful number, since it uses less digits than its factorization.

3147930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3147930 is about 1774.2406826584. The cubic root of 3147930 is about 146.5576037223.

It can be divided in two parts, 31 and 47930, that added together give a square (47961 = 2192).

The spelling of 3147930 in words is "three million, one hundred forty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 89 90 131 135 178 262 267 270 393 445 534 655 786 801 890 1179 1310 1335 1602 1965 2358 2403 2670 3537 3930 4005 4806 5895 7074 8010 11659 11790 12015 17685 23318 24030 34977 35370 58295 69954 104931 116590 174885 209862 314793 349770 524655 629586 1049310 1573965 3147930