Search a number
-
+
296337680 = 24519231331
BaseRepresentation
bin10001101010011…
…100000100010000
3202122121111212122
4101222130010100
51101330301210
645223313412
710225554152
oct2152340420
9678544778
10296337680
11142302981
12832ab868
1349517b52
142b4dcad2
151b038b55
hex11a9c110

296337680 has 120 divisors (see below), whose sum is σ = 752880384. Its totient is φ = 108345600.

The previous prime is 296337673. The next prime is 296337703. The reversal of 296337680 is 86733692.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 895115 + ... + 895445.

Almost surely, 2296337680 is an apocalyptic number.

296337680 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 296337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376440192).

296337680 is an abundant number, since it is smaller than the sum of its proper divisors (456542704).

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

296337680 is a wasteful number, since it uses less digits than its factorization.

296337680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The square root of 296337680 is about 17214.4613624708. The cubic root of 296337680 is about 666.6977029995.

The spelling of 296337680 in words is "two hundred ninety-six million, three hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 331 361 380 496 589 620 662 722 760 1178 1240 1324 1444 1520 1655 1805 2356 2480 2648 2888 2945 3310 3610 4712 5296 5776 5890 6289 6620 7220 9424 10261 11191 11780 12578 13240 14440 20522 22382 23560 25156 26480 28880 31445 41044 44764 47120 50312 51305 55955 62890 82088 89528 100624 102610 111910 119491 125780 164176 179056 194959 205220 223820 238982 251560 389918 410440 447640 477964 503120 597455 779836 820880 895280 955928 974795 1194910 1559672 1911856 1949590 2389820 3119344 3704221 3899180 4779640 7408442 7798360 9559280 14816884 15596720 18521105 29633768 37042210 59267536 74084420 148168840 296337680