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350523140 = 225112695923
BaseRepresentation
bin10100111001001…
…000111100000100
3220102120102100112
4110321020330010
51204213220030
654440532152
711454253232
oct2471107404
9812512315
10350523140
1116a952250
1299481058
135780a356
14347a5952
1520b8da95
hex14e48f04

350523140 has 48 divisors (see below), whose sum is σ = 806137920. Its totient is φ = 126967680.

The previous prime is 350523139. The next prime is 350523161. The reversal of 350523140 is 41325053.

350523140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56219 + ... + 62141.

It is an arithmetic number, because the mean of its divisors is an integer number (16794540).

Almost surely, 2350523140 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 350523140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403068960).

350523140 is an abundant number, since it is smaller than the sum of its proper divisors (455614780).

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

350523140 is a wasteful number, since it uses less digits than its factorization.

350523140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 350523140 is about 18722.2632178912. The cubic root of 350523140 is about 705.0808149733.

Adding to 350523140 its reverse (41325053), we get a palindrome (391848193).

The spelling of 350523140 in words is "three hundred fifty million, five hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 269 538 1076 1345 2690 2959 5380 5918 5923 11836 11846 14795 23692 29590 29615 59180 59230 65153 118460 130306 260612 325765 651530 1303060 1593287 3186574 6373148 7966435 15932870 17526157 31865740 35052314 70104628 87630785 175261570 350523140