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375342 = 2311347
BaseRepresentation
bin1011011101000101110
3201001212120
41123220232
544002332
612013410
73122202
oct1335056
9631776
10375342
11237000
12161266
13101ac6
149ab02
157632c
hex5ba2e

375342 has 32 divisors (see below), whose sum is σ = 843264. Its totient is φ = 111320.

The previous prime is 375341. The next prime is 375359. The reversal of 375342 is 243573.

375342 = T108 + T109 + ... + T151.

375342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (2520) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 375342.

It is not an unprimeable number, because it can be changed into a prime (375341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7963 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (26352).

2375342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421632).

375342 is an abundant number, since it is smaller than the sum of its proper divisors (467922).

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

375342 is a wasteful number, since it uses less digits than its factorization.

375342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its digits is 2520, while the sum is 24.

The square root of 375342 is about 612.6516138884. The cubic root of 375342 is about 72.1343940479.

Subtracting from 375342 its reverse (243573), we obtain a square (131769 = 3632).

It can be divided in two parts, 375 and 342, that added together give a palindrome (717).

The spelling of 375342 in words is "three hundred seventy-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 121 141 242 282 363 517 726 1034 1331 1551 2662 3102 3993 5687 7986 11374 17061 34122 62557 125114 187671 375342