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342528 = 293223
BaseRepresentation
bin1010011101000000000
3122101212020
41103220000
541430103
611201440
72624424
oct1235000
9571766
10342528
1121438a
12146280
13bcba4
148cb84
156b753
hex53a00

342528 has 40 divisors (see below), whose sum is σ = 916608. Its totient is φ = 113664.

The previous prime is 342527. The next prime is 342547. The reversal of 342528 is 825243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 37 + 43 + 57 + 217 + 217 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 342498 and 342507.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342528.

It is not an unprimeable number, because it can be changed into a prime (342521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1425 + ... + 1647.

2342528 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 342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458304).

342528 is an abundant number, since it is smaller than the sum of its proper divisors (574080).

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

342528 is an equidigital number, since it uses as much as digits as its factorization.

342528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 342528 is about 585.2589170615. The cubic root of 342528 is about 69.9678764169.

The spelling of 342528 in words is "three hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 512 669 768 892 1338 1536 1784 2676 3568 5352 7136 10704 14272 21408 28544 42816 57088 85632 114176 171264 342528