Search a number
-
+
790980336 = 243319293323
BaseRepresentation
bin101111001001010…
…110011011110000
32001010100222001000
4233021112123300
53104442332321
6210253242000
725413136056
oct5711263360
92033328030
10790980336
11376540263
121a0a93300
13c7b45603
147709c1d6
1549694826
hex2f2566f0

790980336 has 160 divisors (see below), whose sum is σ = 2473056000. Its totient is φ = 241097472.

The previous prime is 790980329. The next prime is 790980341. The reversal of 790980336 is 633089097.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 790980291 and 790980300.

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, 236371 + ... + 239693.

It is an arithmetic number, because the mean of its divisors is an integer number (15456600).

Almost surely, 2790980336 is an apocalyptic number.

790980336 is a gapful number since it is divisible by the number (76) 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 790980336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236528000).

790980336 is an abundant number, since it is smaller than the sum of its proper divisors (1682075664).

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

790980336 is a wasteful number, since it uses less digits than its factorization.

790980336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 790980336 is about 28124.3726330029. The cubic root of 790980336 is about 924.8157747556.

The spelling of 790980336 in words is "seven hundred ninety million, nine hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 29 36 38 48 54 57 58 72 76 87 108 114 116 144 152 171 174 216 228 232 261 304 342 348 432 456 464 513 522 551 684 696 783 912 1026 1044 1102 1368 1392 1566 1653 2052 2088 2204 2736 3132 3306 3323 4104 4176 4408 4959 6264 6612 6646 8208 8816 9918 9969 12528 13224 13292 14877 19836 19938 26448 26584 29754 29907 39672 39876 53168 59508 59814 63137 79344 79752 89721 96367 119016 119628 126274 159504 179442 189411 192734 238032 239256 252548 289101 358884 378822 385468 478512 505096 568233 578202 717768 757644 770936 867303 1010192 1136466 1156404 1435536 1515288 1541872 1704699 1734606 1830973 2272932 2312808 2601909 3030576 3409398 3469212 3661946 4545864 4625616 5203818 5492919 6818796 6938424 7323892 9091728 10407636 10985838 13637592 13876848 14647784 16478757 20815272 21971676 27275184 29295568 32957514 41630544 43943352 49436271 65915028 87886704 98872542 131830056 197745084 263660112 395490168 790980336