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336648 = 23313283
BaseRepresentation
bin1010010001100001000
3122002210110
41102030020
541233043
611114320
72601324
oct1221410
9562713
10336648
1120aa24
121429a0
13ba300
148a984
1569b33
hex52308

336648 has 48 divisors (see below), whose sum is σ = 922320. Its totient is φ = 102336.

The previous prime is 336643. The next prime is 336649. The reversal of 336648 is 846633.

336648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3366482 = 226663751808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

336648 is a modest number, since divided by 648 gives 336 as remainder.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336648.

It is not an unprimeable number, because it can be changed into a prime (336643) by changing a digit.

336648 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 11 ways as a sum of consecutive naturals, for example, 4015 + ... + 4097.

It is an arithmetic number, because the mean of its divisors is an integer number (19215).

2336648 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 336648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461160).

336648 is an abundant number, since it is smaller than the sum of its proper divisors (585672).

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

336648 is a wasteful number, since it uses less digits than its factorization.

336648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 336648 is about 580.2137537150. The cubic root of 336648 is about 69.5651959692.

The spelling of 336648 in words is "three hundred thirty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 169 249 312 332 338 498 507 664 676 996 1014 1079 1352 1992 2028 2158 3237 4056 4316 6474 8632 12948 14027 25896 28054 42081 56108 84162 112216 168324 336648