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342792 = 2334232
BaseRepresentation
bin1010011101100001000
3122102020000
41103230020
541432132
611203000
72625252
oct1235410
9572200
10342792
112145aa
12146460
13c0048
148ccd2
156b87c
hex53b08

342792 has 60 divisors (see below), whose sum is σ = 1003695. Its totient is φ = 109296.

The previous prime is 342791. The next prime is 342799. The reversal of 342792 is 297243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 171396 + 171396 = 414^2 + 414^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (3024) is a multiple of the sum of its prime divisors (28).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342792.

It is not an unprimeable number, because it can be changed into a prime (342791) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14893 + ... + 14915.

2342792 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 342792

342792 is an abundant number, since it is smaller than the sum of its proper divisors (660903).

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

342792 is a wasteful number, since it uses less digits than its factorization.

342792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 342792 is about 585.4844148225. The cubic root of 342792 is about 69.9858474790.

The spelling of 342792 in words is "three hundred forty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 529 552 621 648 828 1058 1242 1587 1656 1863 2116 2484 3174 3726 4232 4761 4968 6348 7452 9522 12696 14283 14904 19044 28566 38088 42849 57132 85698 114264 171396 342792