Search a number
-
+
2423362128 = 2431161671123
BaseRepresentation
bin1001000001110001…
…1001001001010000
320020212222112212220
42100130121021100
514430340042003
61040245021040
7114024144465
oct22034311120
96225875786
102423362128
111033a19920
125776b4780
132c80a84b5
1418dbc166c
15e2b3d353
hex90719250

2423362128 has 160 divisors (see below), whose sum is σ = 7051310592. Its totient is φ = 710899200.

The previous prime is 2423362103. The next prime is 2423362129. The reversal of 2423362128 is 8212633242.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423362129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157375 + ... + 2158497.

Almost surely, 22423362128 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 2423362128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525655296).

2423362128 is an abundant number, since it is smaller than the sum of its proper divisors (4627948464).

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

2423362128 is a wasteful number, since it uses less digits than its factorization.

2423362128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1267 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 2423362128 is about 49227.6561294563. The cubic root of 2423362128 is about 1343.1961516117.

The spelling of 2423362128 in words is "two billion, four hundred twenty-three million, three hundred sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 67 88 122 132 134 176 183 201 244 264 268 366 402 488 528 536 671 732 737 804 976 1072 1123 1342 1464 1474 1608 2013 2211 2246 2684 2928 2948 3216 3369 4026 4087 4422 4492 5368 5896 6738 8052 8174 8844 8984 10736 11792 12261 12353 13476 16104 16348 17688 17968 24522 24706 26952 32208 32696 35376 37059 44957 49044 49412 53904 65392 68503 74118 75241 89914 98088 98824 134871 137006 148236 150482 179828 196176 197648 205509 225723 269742 274012 296472 300964 359656 411018 451446 539484 548024 592944 601928 719312 753533 822036 827651 902892 1078968 1096048 1203856 1507066 1644072 1655302 1805784 2157936 2260599 2482953 3014132 3288144 3310604 3611568 4521198 4589701 4965906 6028264 6621208 9042396 9179402 9931812 12056528 13242416 13769103 18084792 18358804 19863624 27538206 36169584 36717608 39727248 50486711 55076412 73435216 100973422 110152824 151460133 201946844 220305648 302920266 403893688 605840532 807787376 1211681064 2423362128