Search a number
-
+
323031120 = 24356720089
BaseRepresentation
bin10011010000010…
…001000001010000
3211111211200101120
4103100101001100
51130143443440
652015402240
711001501456
oct2320210120
9744750346
10323031120
11156385075
1290223380
1351c02a99
1430c8a9d6
151d55cdd0
hex13411050

323031120 has 80 divisors (see below), whose sum is σ = 1016393280. Its totient is φ = 84851712.

The previous prime is 323031119. The next prime is 323031139. The reversal of 323031120 is 21130323.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 323031120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6036 + ... + 26124.

It is an arithmetic number, because the mean of its divisors is an integer number (12704916).

Almost surely, 2323031120 is an apocalyptic number.

323031120 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 323031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508196640).

323031120 is an abundant number, since it is smaller than the sum of its proper divisors (693362160).

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

323031120 is a wasteful number, since it uses less digits than its factorization.

323031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20172 (or 20166 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 323031120 is about 17973.0665163182. The cubic root of 323031120 is about 686.1432380590.

Adding to 323031120 its reverse (21130323), we get a palindrome (344161443).

The spelling of 323031120 in words is "three hundred twenty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 20089 40178 60267 80356 100445 120534 160712 200890 241068 301335 321424 401780 482136 602670 803560 964272 1205340 1345963 1607120 2410680 2691926 4037889 4821360 5383852 6729815 8075778 10767704 13459630 16151556 20189445 21535408 26919260 32303112 40378890 53838520 64606224 80757780 107677040 161515560 323031120