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75342 = 2329433
BaseRepresentation
bin10010011001001110
310211100110
4102121032
54402332
61340450
7432441
oct223116
9124313
1075342
1151673
1237726
13283a7
141d658
15174cc
hex1264e

75342 has 16 divisors (see below), whose sum is σ = 156240. Its totient is φ = 24192.

The previous prime is 75337. The next prime is 75347. The reversal of 75342 is 24357.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75337) and next prime (75347).

It is an Ulam number.

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 75342.

It is not an unprimeable number, because it can be changed into a prime (75347) 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, 43 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

275342 is an apocalyptic number.

75342 is an abundant number, since it is smaller than the sum of its proper divisors (80898).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

75342 is a wasteful number, since it uses less digits than its factorization.

75342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its digits is 840, while the sum is 21.

The square root of 75342 is about 274.4849722662. The cubic root of 75342 is about 42.2356369604.

Adding to 75342 its reverse (24357), we get a palindrome (99699).

It can be divided in two parts, 753 and 42, that multiplied together give a triangular number (31626 = T251).

The spelling of 75342 in words is "seventy-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 29 58 87 174 433 866 1299 2598 12557 25114 37671 75342