Search a number
-
+
350214240 = 2535729613
BaseRepresentation
bin10100110111111…
…101100001100000
3220101222201121210
4110313331201200
51204123323430
654430150120
711451525525
oct2467754140
9811881553
10350214240
1116a761162
1299352340
135772c87c
143472514c
1520b2c2b0
hex14dfd860

350214240 has 48 divisors (see below), whose sum is σ = 1103176368. Its totient is φ = 93390336.

The previous prime is 350214217. The next prime is 350214247. The reversal of 350214240 is 42412053.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350214247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364327 + ... + 365286.

It is an arithmetic number, because the mean of its divisors is an integer number (22982841).

Almost surely, 2350214240 is an apocalyptic number.

350214240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350214240 is an abundant number, since it is smaller than the sum of its proper divisors (752962128).

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

350214240 is a wasteful number, since it uses less digits than its factorization.

350214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729631 (or 729623 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 350214240 is about 18714.0118627728. The cubic root of 350214240 is about 704.8736356185.

Adding to 350214240 its reverse (42412053), we get a palindrome (392626293).

The spelling of 350214240 in words is "three hundred fifty million, two hundred fourteen 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 729613 1459226 2188839 2918452 3648065 4377678 5836904 7296130 8755356 10944195 11673808 14592260 17510712 21888390 23347616 29184520 35021424 43776780 58369040 70042848 87553560 116738080 175107120 350214240