Search a number
-
+
321048150 = 235283107241
BaseRepresentation
bin10011001000101…
…100111001010110
3211101002221021020
4103020230321112
51124142020100
651505102010
710645602303
oct2310547126
9741087236
10321048150
11155250255
128b627906
135168a327
14308d20aa
151d2ba5a0
hex1322ce56

321048150 has 96 divisors (see below), whose sum is σ = 816697728. Its totient is φ = 83443200.

The previous prime is 321048139. The next prime is 321048151. The reversal of 321048150 is 51840123.

321048150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 321048150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321048151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1332030 + ... + 1332270.

It is an arithmetic number, because the mean of its divisors is an integer number (8507268).

Almost surely, 2321048150 is an apocalyptic number.

321048150 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 321048150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408348864).

321048150 is an abundant number, since it is smaller than the sum of its proper divisors (495649578).

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

321048150 is a wasteful number, since it uses less digits than its factorization.

321048150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 321048150 is about 17917.8165522477. The cubic root of 321048150 is about 684.7363611520.

Adding to 321048150 its reverse (51840123), we get a palindrome (372888273).

It can be divided in two parts, 3210 and 48150, that added together give a triangular number (51360 = T320).

The spelling of 321048150 in words is "three hundred twenty-one million, forty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 107 150 166 214 241 249 321 415 482 498 535 642 723 830 1070 1205 1245 1446 1605 2075 2410 2490 2675 3210 3615 4150 5350 6025 6225 7230 8025 8881 12050 12450 16050 17762 18075 20003 25787 26643 36150 40006 44405 51574 53286 60009 77361 88810 100015 120018 128935 133215 154722 200030 222025 257870 266430 300045 386805 444050 500075 600090 644675 666075 773610 1000150 1289350 1332150 1500225 1934025 2140321 3000450 3868050 4280642 6420963 10701605 12841926 21403210 32104815 53508025 64209630 107016050 160524075 321048150