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463023240 = 233510736061
BaseRepresentation
bin11011100110010…
…010110010001000
31012021021000110220
4123212102302020
51422013220430
6113540110040
714321426661
oct3346226210
91167230426
10463023240
11218401239
1210b095320
1374c09664
14456cc368
152a9b2110
hex1b992c88

463023240 has 64 divisors (see below), whose sum is σ = 1402090560. Its totient is φ = 122315520.

The previous prime is 463023227. The next prime is 463023247. The reversal of 463023240 is 42320364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 463023240.

It is not an unprimeable number, because it can be changed into a prime (463023247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5191 + ... + 30870.

It is an arithmetic number, because the mean of its divisors is an integer number (21907665).

Almost surely, 2463023240 is an apocalyptic number.

463023240 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 463023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701045280).

463023240 is an abundant number, since it is smaller than the sum of its proper divisors (939067320).

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

463023240 is a wasteful number, since it uses less digits than its factorization.

463023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36182 (or 36178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 463023240 is about 21517.9748117707. The cubic root of 463023240 is about 773.6317112251.

The spelling of 463023240 in words is "four hundred sixty-three million, twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 36061 72122 108183 144244 180305 216366 288488 360610 432732 540915 721220 865464 1081830 1442440 2163660 3858527 4327320 7717054 11575581 15434108 19292635 23151162 30868216 38585270 46302324 57877905 77170540 92604648 115755810 154341080 231511620 463023240