Search a number
-
+
814043280 = 243514872281
BaseRepresentation
bin110000100001010…
…101000010010000
32002201202200110010
4300201111002100
53131343341110
6212435434520
726113153011
oct6041250220
92081680403
10814043280
11388562846
121a8755a40
13cc85bc1b
147a183008
154b6ed020
hex30855090

814043280 has 80 divisors (see below), whose sum is σ = 2526338304. Its totient is φ = 216837120.

The previous prime is 814043257. The next prime is 814043323. The reversal of 814043280 is 82340418.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355740 + ... + 358020.

Almost surely, 2814043280 is an apocalyptic number.

814043280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814043280 is an abundant number, since it is smaller than the sum of its proper divisors (1712295024).

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

814043280 is a wasteful number, since it uses less digits than its factorization.

814043280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 814043280 is about 28531.4437068999. The cubic root of 814043280 is about 933.7182165455.

Adding to 814043280 its reverse (82340418), we get a palindrome (896383698).

The spelling of 814043280 in words is "eight hundred fourteen million, forty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1487 2281 2974 4461 4562 5948 6843 7435 8922 9124 11405 11896 13686 14870 17844 18248 22305 22810 23792 27372 29740 34215 35688 36496 44610 45620 54744 59480 68430 71376 89220 91240 109488 118960 136860 178440 182480 273720 356880 547440 3391847 6783694 10175541 13567388 16959235 20351082 27134776 33918470 40702164 50877705 54269552 67836940 81404328 101755410 135673880 162808656 203510820 271347760 407021640 814043280