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351200142 = 232192414261
BaseRepresentation
bin10100111011101…
…110001110001110
3220110211211000200
4110323232032032
51204401401032
654503234330
711463103056
oct2473561616
9813754020
10351200142
11170274957
12997489a6
13579b6547
1434900566
1520c7447c
hex14eee38e

351200142 has 48 divisors (see below), whose sum is σ = 804495120. Its totient is φ = 110419200.

The previous prime is 351200111. The next prime is 351200149. The reversal of 351200142 is 241002153.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351200149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80292 + ... + 84552.

It is an arithmetic number, because the mean of its divisors is an integer number (16760315).

Almost surely, 2351200142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351200142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402247560).

351200142 is an abundant number, since it is smaller than the sum of its proper divisors (453294978).

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

351200142 is a wasteful number, since it uses less digits than its factorization.

351200142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 351200142 is about 18740.3346288160. The cubic root of 351200142 is about 705.5344551507.

Adding to 351200142 its reverse (241002153), we get a palindrome (592202295).

The spelling of 351200142 in words is "three hundred fifty-one million, two hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 241 342 482 723 1446 2169 4261 4338 4579 8522 9158 12783 13737 25566 27474 38349 41211 76698 80959 82422 161918 242877 485754 728631 1026901 1457262 2053802 3080703 6161406 9242109 18484218 19511119 39022238 58533357 117066714 175600071 351200142