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342072 = 23324751
BaseRepresentation
bin1010011100000111000
3122101020100
41103200320
541421242
611155400
72623203
oct1234070
9571210
10342072
11214005
12145b60
13bc913
148c93a
156b54c
hex53838

342072 has 24 divisors (see below), whose sum is σ = 926640. Its totient is φ = 114000.

The previous prime is 342071. The next prime is 342073. The reversal of 342072 is 270243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342071) and next prime (342073).

It is a tau number, because it is divible by the number of its divisors (24).

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

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 342072.

It is not an unprimeable number, because it can be changed into a prime (342071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2304 + ... + 2447.

It is an arithmetic number, because the mean of its divisors is an integer number (38610).

2342072 is an apocalyptic number.

It is an amenable number.

342072 is an abundant number, since it is smaller than the sum of its proper divisors (584568).

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

342072 is a wasteful number, since it uses less digits than its factorization.

342072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 342072 is about 584.8692161501. The cubic root of 342072 is about 69.9368137297.

The spelling of 342072 in words is "three hundred forty-two thousand, seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4751 9502 14253 19004 28506 38008 42759 57012 85518 114024 171036 342072