Search a number
-
+
299368480 = 2553761829
BaseRepresentation
bin10001110110000…
…000000000100000
3202212022111100111
4101312000000200
51103114242410
645412301104
710263406255
oct2166000040
9685274314
10299368480
11143a92a74
1284311794
134a039518
142ba8b42c
151b436b8a
hex11d80020

299368480 has 96 divisors (see below), whose sum is σ = 739171440. Its totient is φ = 114462720.

The previous prime is 299368477. The next prime is 299368493. The reversal of 299368480 is 84863992.

It can be written as a sum of positive squares in 8 ways, for example, as 117765904 + 181602576 = 10852^2 + 13476^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360706 + ... + 361534.

Almost surely, 2299368480 is an apocalyptic number.

299368480 is a gapful number since it is divisible by the number (20) 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 299368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369585720).

299368480 is an abundant number, since it is smaller than the sum of its proper divisors (439802960).

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

299368480 is a wasteful number, since it uses less digits than its factorization.

299368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 299368480 is about 17302.2680594193. The cubic root of 299368480 is about 668.9628864263.

It can be divided in two parts, 29936 and 8480, that added together give a 4-th power (38416 = 144).

The spelling of 299368480 in words is "two hundred ninety-nine million, three hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 61 74 80 122 148 160 185 244 296 305 370 488 592 610 740 829 976 1184 1220 1480 1658 1952 2257 2440 2960 3316 4145 4514 4880 5920 6632 8290 9028 9760 11285 13264 16580 18056 22570 26528 30673 33160 36112 45140 50569 61346 66320 72224 90280 101138 122692 132640 153365 180560 202276 245384 252845 306730 361120 404552 490768 505690 613460 809104 981536 1011380 1226920 1618208 1871053 2022760 2453840 3742106 4045520 4907680 7484212 8091040 9355265 14968424 18710530 29936848 37421060 59873696 74842120 149684240 299368480