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470730312 = 233313533163
BaseRepresentation
bin11100000011101…
…100011001001000
31012210202120121000
4130003230121020
51431001332222
6114413215000
714444066403
oct3403543110
91183676530
10470730312
11221795718
12111791460
13766a7660
1446736d3a
152b4d59ac
hex1c0ec648

470730312 has 128 divisors (see below), whose sum is σ = 1435190400. Its totient is φ = 142062336.

The previous prime is 470730283. The next prime is 470730313. The reversal of 470730312 is 213037074.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (470730313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147243 + ... + 150405.

It is an arithmetic number, because the mean of its divisors is an integer number (11212425).

Almost surely, 2470730312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470730312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717595200).

470730312 is an abundant number, since it is smaller than the sum of its proper divisors (964460088).

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

470730312 is a wasteful number, since it uses less digits than its factorization.

470730312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 470730312 is about 21696.3202409994. The cubic root of 470730312 is about 777.9005078043.

Adding to 470730312 its reverse (213037074), we get a palindrome (683767386).

The spelling of 470730312 in words is "four hundred seventy million, seven hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 117 156 159 212 216 234 312 318 351 424 468 477 636 689 702 936 954 1272 1378 1404 1431 1908 2067 2756 2808 2862 3163 3816 4134 5512 5724 6201 6326 8268 9489 11448 12402 12652 16536 18603 18978 24804 25304 28467 37206 37956 41119 49608 56934 74412 75912 82238 85401 113868 123357 148824 164476 167639 170802 227736 246714 328952 335278 341604 370071 493428 502917 670556 683208 740142 986856 1005834 1110213 1341112 1480284 1508751 2011668 2179307 2220426 2960568 3017502 4023336 4358614 4440852 4526253 6035004 6537921 8717228 8881704 9052506 12070008 13075842 17434456 18105012 19613763 26151684 36210024 39227526 52303368 58841289 78455052 117682578 156910104 235365156 470730312