Search a number
-
+
830638284 = 223723429937
BaseRepresentation
bin110001100000101…
…000100011001100
32010212222210111220
4301200220203030
53200120411114
6214231243340
726404210650
oct6140504314
92125883456
10830638284
11396967923
121b2219550
1310311c558
147c462a60
154cdca0a9
hex318288cc

830638284 has 48 divisors (see below), whose sum is σ = 2311346688. Its totient is φ = 227006208.

The previous prime is 830638279. The next prime is 830638297. The reversal of 830638284 is 482836038.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 213037 + ... + 216900.

It is an arithmetic number, because the mean of its divisors is an integer number (48153056).

Almost surely, 2830638284 is an apocalyptic number.

830638284 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

830638284 is an abundant number, since it is smaller than the sum of its proper divisors (1480708404).

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

830638284 is a wasteful number, since it uses less digits than its factorization.

830638284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429974 (or 429972 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 830638284 is about 28820.7960334200. The cubic root of 830638284 is about 940.0204779000.

The spelling of 830638284 in words is "eight hundred thirty million, six hundred thirty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 429937 859874 1289811 1719748 2579622 3009559 5159244 6019118 9028677 9888551 12038236 18057354 19777102 29665653 36114708 39554204 59331306 69219857 118662612 138439714 207659571 276879428 415319142 830638284