Search a number
-
+
4350031440 = 243518125131
BaseRepresentation
bin1000000110100100…
…00011011001010000
3102020011100111022120
410003102003121100
532402102001230
61555352134240
7212540441256
oct40322033120
912204314276
104350031440
111932530007
12a14997380
135442b9001
142d3a2c5d6
151a6d68310
hex103483650

4350031440 has 40 divisors (see below), whose sum is σ = 13485098208. Its totient is φ = 1160008320.

The previous prime is 4350031421. The next prime is 4350031501. The reversal of 4350031440 is 441300534.

It is a tau number, because it is divible by the number of its divisors (40).

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 4350031440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9062326 + ... + 9062805.

Almost surely, 24350031440 is an apocalyptic number.

4350031440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4350031440 is an abundant number, since it is smaller than the sum of its proper divisors (9135066768).

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

4350031440 is a wasteful number, since it uses less digits than its factorization.

4350031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18125147 (or 18125141 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4350031440 is about 65954.7681369588. The cubic root of 4350031440 is about 1632.4158338193.

Adding to 4350031440 its reverse (441300534), we get a palindrome (4791331974).

The spelling of 4350031440 in words is "four billion, three hundred fifty million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 18125131 36250262 54375393 72500524 90625655 108750786 145001048 181251310 217501572 271876965 290002096 362502620 435003144 543753930 725005240 870006288 1087507860 1450010480 2175015720 4350031440