Search a number
-
+
323231420 = 2251923311193
BaseRepresentation
bin10011010001000…
…001111010111100
3211112012212011002
4103101001322330
51130221401140
652023545432
711003264441
oct2321017274
9745185132
10323231420
11156501606
12902bb278
1351c72cc5
1430cdd9c8
151d59c415
hex13441ebc

323231420 has 96 divisors (see below), whose sum is σ = 770273280. Its totient is φ = 113287680.

The previous prime is 323231417. The next prime is 323231431. The reversal of 323231420 is 24132323.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 323231392 and 323231401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270344 + ... + 271536.

It is an arithmetic number, because the mean of its divisors is an integer number (8023680).

Almost surely, 2323231420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385136640).

323231420 is an abundant number, since it is smaller than the sum of its proper divisors (447041860).

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

323231420 is a wasteful number, since it uses less digits than its factorization.

323231420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 323231420 is about 17978.6378794390. The cubic root of 323231420 is about 686.2850263530.

Adding to 323231420 its reverse (24132323), we get a palindrome (347363743).

The spelling of 323231420 in words is "three hundred twenty-three million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 31 38 46 62 76 92 95 115 124 155 190 230 310 380 437 460 589 620 713 874 1178 1193 1426 1748 2185 2356 2386 2852 2945 3565 4370 4772 5890 5965 7130 8740 11780 11930 13547 14260 22667 23860 27094 27439 36983 45334 54188 54878 67735 73966 90668 109756 113335 135470 137195 147932 184915 226670 270940 274390 369830 453340 521341 548780 702677 739660 850609 1042682 1405354 1701218 2085364 2606705 2810708 3402436 3513385 4253045 5213410 7026770 8506090 10426820 14053540 16161571 17012180 32323142 64646284 80807855 161615710 323231420