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331640010 = 2325131372069
BaseRepresentation
bin10011110001000…
…110110011001010
3212010001001120100
4103301012303022
51134344440020
652524110230
711134615332
oct2361066312
9763031510
10331640010
11160225059
1293095376
13539283c0
143208c0c2
151e1ada90
hex13c46cca

331640010 has 96 divisors (see below), whose sum is σ = 935822160. Its totient is φ = 80999424.

The previous prime is 331640009. The next prime is 331640039. The reversal of 331640010 is 10046133.

It can be written as a sum of positive squares in 8 ways, for example, as 44235801 + 287404209 = 6651^2 + 16953^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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, 159256 + ... + 161324.

Almost surely, 2331640010 is an apocalyptic number.

331640010 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 331640010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467911080).

331640010 is an abundant number, since it is smaller than the sum of its proper divisors (604182150).

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

331640010 is a wasteful number, since it uses less digits than its factorization.

331640010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331640010 is about 18210.9859700127. The cubic root of 331640010 is about 692.1851957912.

Adding to 331640010 its reverse (10046133), we get a palindrome (341686143).

The spelling of 331640010 in words is "three hundred thirty-one million, six hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 137 195 234 274 390 411 585 685 822 1170 1233 1370 1781 2055 2069 2466 3562 4110 4138 5343 6165 6207 8905 10345 10686 12330 12414 16029 17810 18621 20690 26715 26897 31035 32058 37242 53430 53794 62070 80145 80691 93105 134485 160290 161382 186210 242073 268970 283453 403455 484146 566906 806910 850359 1210365 1417265 1700718 2420730 2551077 2834530 3684889 4251795 5102154 7369778 8503590 11054667 12755385 18424445 22109334 25510770 33164001 36848890 55273335 66328002 110546670 165820005 331640010