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463276320 = 25351325711
BaseRepresentation
bin11011100111010…
…000100100100000
31012021201212122020
4123213100210200
51422044320240
6113545341440
714323532553
oct3347204440
91167655566
10463276320
112185643a1
1210b197880
1374c97900
144575669a
152aa120d0
hex1b9d0920

463276320 has 144 divisors (see below), whose sum is σ = 1580487552. Its totient is φ = 114017280.

The previous prime is 463276309. The next prime is 463276351. The reversal of 463276320 is 23672364.

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, 78265 + ... + 83975.

It is an arithmetic number, because the mean of its divisors is an integer number (10975608).

Almost surely, 2463276320 is an apocalyptic number.

463276320 is a gapful number since it is divisible by the number (40) 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 463276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790243776).

463276320 is an abundant number, since it is smaller than the sum of its proper divisors (1117211232).

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

463276320 is a wasteful number, since it uses less digits than its factorization.

463276320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 463276320 is about 21523.8546733618. The cubic root of 463276320 is about 773.7726365146.

The spelling of 463276320 in words is "four hundred sixty-three million, two hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 624 676 780 845 1014 1040 1248 1352 1560 1690 2028 2080 2535 2704 3120 3380 4056 5070 5408 5711 6240 6760 8112 10140 11422 13520 16224 17133 20280 22844 27040 28555 34266 40560 45688 57110 68532 74243 81120 85665 91376 114220 137064 148486 171330 182752 222729 228440 274128 296972 342660 371215 445458 456880 548256 593944 685320 742430 890916 913760 965159 1113645 1187888 1370640 1484860 1781832 1930318 2227290 2375776 2741280 2895477 2969720 3563664 3860636 4454580 4825795 5790954 5939440 7127328 7721272 8909160 9651590 11581908 11878880 14477385 15442544 17818320 19303180 23163816 28954770 30885088 35636640 38606360 46327632 57909540 77212720 92655264 115819080 154425440 231638160 463276320