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342720 = 26325717
BaseRepresentation
bin1010011101011000000
3122102010100
41103223000
541431340
611202400
72625120
oct1235300
9572110
10342720
11214544
12146400
13bccc1
148cc80
156b830
hex53ac0

342720 has 168 divisors, whose sum is σ = 1426464. Its totient is φ = 73728.

The previous prime is 342697. The next prime is 342733. The reversal of 342720 is 27243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 342693 and 342702.

It is an unprimeable number.

342720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20152 + ... + 20168.

2342720 is an apocalyptic number.

342720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713232).

342720 is an abundant number, since it is smaller than the sum of its proper divisors (1083744).

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

342720 is a wasteful number, since it uses less digits than its factorization.

342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 34 counting only the distinct ones).

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

The square root of 342720 is about 585.4229240472. The cubic root of 342720 is about 69.9809471956.

Adding to 342720 its reverse (27243), we get a palindrome (369963).

The spelling of 342720 in words is "three hundred forty-two thousand, seven hundred twenty", and thus it is an iban number.