Search a number
-
+
423248328 = 233437127139
BaseRepresentation
bin11001001110100…
…100000111001000
31002111102020120000
4121032210013020
51331322421303
6105555403000
713326360066
oct3116440710
91074366500
10423248328
111a7a04808
12b98b3460
13698c13c9
14402d7036
1527256da3
hex193a41c8

423248328 has 160 divisors (see below), whose sum is σ = 1235942400. Its totient is φ = 135209088.

The previous prime is 423248327. The next prime is 423248341. The reversal of 423248328 is 823842324.

It is a happy number.

423248328 is a `hidden beast` number, since 4 + 2 + 324 + 8 + 328 = 666.

It is a Cunningham number, because it is equal to 205732-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 423248292 and 423248301.

It is not an unprimeable number, because it can be changed into a prime (423248327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3044883 + ... + 3045021.

It is an arithmetic number, because the mean of its divisors is an integer number (7724640).

Almost surely, 2423248328 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 423248328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617971200).

423248328 is an abundant number, since it is smaller than the sum of its proper divisors (812694072).

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

423248328 is a wasteful number, since it uses less digits than its factorization.

423248328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 423248328 is about 20572.9999756963. Note that the first 4 decimals coincide. The cubic root of 423248328 is about 750.8129425143.

The spelling of 423248328 in words is "four hundred twenty-three million, two hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 127 139 148 162 216 222 254 278 296 324 333 381 417 444 508 556 648 666 762 834 888 999 1016 1112 1143 1251 1332 1524 1668 1998 2286 2502 2664 2997 3048 3336 3429 3753 3996 4572 4699 5004 5143 5994 6858 7506 7992 9144 9398 10008 10286 10287 11259 11988 13716 14097 15012 15429 17653 18796 20572 20574 22518 23976 27432 28194 30024 30858 35306 37592 41144 41148 42291 45036 46287 52959 56388 61716 70612 82296 84582 90072 92574 105918 112776 123432 126873 138861 141224 158877 169164 185148 211836 253746 277722 317754 338328 370296 380619 416583 423672 476631 507492 555444 635508 653161 761238 833166 953262 1014984 1110888 1271016 1306322 1429893 1522476 1666332 1906524 1959483 2612644 2859786 3044952 3332664 3813048 3918966 5225288 5719572 5878449 7837932 11439144 11756898 15675864 17635347 23513796 35270694 47027592 52906041 70541388 105812082 141082776 211624164 423248328