Search a number
-
+
461403240 = 23353845027
BaseRepresentation
bin11011100000000…
…111010001101000
31012011012201020220
4123200013101220
51421104400430
6113441250040
714301601644
oct3340072150
91164181226
10461403240
112174a50a1
1210a633920
137479018c
14453c9c24
152a792110
hex1b807468

461403240 has 32 divisors (see below), whose sum is σ = 1384210080. Its totient is φ = 123040832.

The previous prime is 461403233. The next prime is 461403251. The reversal of 461403240 is 42304164.

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 461403240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1922394 + ... + 1922633.

It is an arithmetic number, because the mean of its divisors is an integer number (43256565).

Almost surely, 2461403240 is an apocalyptic number.

461403240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461403240 is an abundant number, since it is smaller than the sum of its proper divisors (922806840).

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

461403240 is a wasteful number, since it uses less digits than its factorization.

461403240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845041 (or 3845037 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 461403240 is about 21480.2988806022. The cubic root of 461403240 is about 772.7284103748.

The spelling of 461403240 in words is "four hundred sixty-one million, four hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3845027 7690054 11535081 15380108 19225135 23070162 30760216 38450270 46140324 57675405 76900540 92280648 115350810 153801080 230701620 461403240