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350540240 = 24523593229
BaseRepresentation
bin10100111001001…
…101000111010000
3220102121021210212
4110321031013100
51204214241430
654441143252
711454354131
oct2471150720
9812537725
10350540240
1116a964086
129948ab28
135781507b
14347abc88
1520b93b95
hex14e4d1d0

350540240 has 80 divisors (see below), whose sum is σ = 865123200. Its totient is φ = 131805696.

The previous prime is 350540237. The next prime is 350540243. The reversal of 350540240 is 42045053.

It is an interprime number because it is at equal distance from previous prime (350540237) and next prime (350540243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350540243) 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, 106946 + ... + 110174.

It is an arithmetic number, because the mean of its divisors is an integer number (10814040).

Almost surely, 2350540240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432561600).

350540240 is an abundant number, since it is smaller than the sum of its proper divisors (514582960).

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

350540240 is a wasteful number, since it uses less digits than its factorization.

350540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 350540240 is about 18722.7198878795. The cubic root of 350540240 is about 705.0922803941.

Adding to 350540240 its reverse (42045053), we get a palindrome (392585293).

The spelling of 350540240 in words is "three hundred fifty million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 59 80 92 115 118 184 230 236 295 368 460 472 590 920 944 1180 1357 1840 2360 2714 3229 4720 5428 6458 6785 10856 12916 13570 16145 21712 25832 27140 32290 51664 54280 64580 74267 108560 129160 148534 190511 258320 297068 371335 381022 594136 742670 762044 952555 1188272 1485340 1524088 1905110 2970680 3048176 3810220 4381753 5941360 7620440 8763506 15240880 17527012 21908765 35054024 43817530 70108048 87635060 175270120 350540240