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463220316 = 223313372241
BaseRepresentation
bin11011100111000…
…010111001011100
31012021122000211000
4123213002321130
51422041022231
6113544230300
714323210356
oct3347027134
91167560730
10463220316
11218526309
1210b16b390
1374c78280
14457400d6
152aa006e6
hex1b9c2e5c

463220316 has 144 divisors (see below), whose sum is σ = 1334736480. Its totient is φ = 138101760.

The previous prime is 463220291. The next prime is 463220341. The reversal of 463220316 is 613022364.

463220316 is a `hidden beast` number, since 4 + 632 + 20 + 3 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (463220291) and next prime (463220341).

It is a super-2 number, since 2×4632203162 = 429146122310279712, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 463220316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921956 + ... + 1922196.

Almost surely, 2463220316 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 463220316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667368240).

463220316 is an abundant number, since it is smaller than the sum of its proper divisors (871516164).

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

463220316 is a wasteful number, since it uses less digits than its factorization.

463220316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 463220316 is about 21522.5536588947. The cubic root of 463220316 is about 773.7414556210.

The spelling of 463220316 in words is "four hundred sixty-three million, two hundred twenty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 241 333 351 444 468 481 482 666 702 723 962 964 999 1332 1369 1404 1443 1446 1924 1998 2169 2738 2886 2892 3133 3996 4107 4329 4338 5476 5772 6266 6507 8214 8658 8676 8917 9399 12321 12532 12987 13014 16428 17316 17797 17834 18798 24642 25974 26028 26751 28197 35594 35668 36963 37596 49284 51948 53391 53502 56394 71188 73926 80253 84591 106782 107004 112788 115921 147852 160173 160506 169182 213564 231842 240759 320346 321012 329929 338364 347763 463684 480519 481518 640692 659858 695526 961038 963036 989787 1043289 1319716 1391052 1922076 1979574 2086578 2969361 3129867 3959148 4173156 4289077 5938722 6259734 8578154 8908083 11877444 12519468 12867231 17156308 17816166 25734462 35632332 38601693 51468924 77203386 115805079 154406772 231610158 463220316