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504342240 = 25351050713
BaseRepresentation
bin11110000011111…
…010011011100000
31022011000020111020
4132003322123200
52013102422430
6122013445440
715332560353
oct3603723340
91264006436
10504342240
11239762876
12120aa0880
138064567c
144ada629a
152e424b10
hex1e0fa6e0

504342240 has 48 divisors (see below), whose sum is σ = 1588679568. Its totient is φ = 134491136.

The previous prime is 504342199. The next prime is 504342257. The reversal of 504342240 is 42243405.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×5043422403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 504342240.

It is a congruent number.

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, 524877 + ... + 525836.

It is an arithmetic number, because the mean of its divisors is an integer number (33097491).

Almost surely, 2504342240 is an apocalyptic number.

It is an amenable number.

504342240 is an abundant number, since it is smaller than the sum of its proper divisors (1084337328).

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

504342240 is a wasteful number, since it uses less digits than its factorization.

504342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050731 (or 1050723 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 504342240 is about 22457.5653177276. The cubic root of 504342240 is about 795.9915321103.

Adding to 504342240 its reverse (42243405), we get a palindrome (546585645).

The spelling of 504342240 in words is "five hundred four million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1050713 2101426 3152139 4202852 5253565 6304278 8405704 10507130 12608556 15760695 16811408 21014260 25217112 31521390 33622816 42028520 50434224 63042780 84057040 100868448 126085560 168114080 252171120 504342240