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336630 = 23572229
BaseRepresentation
bin1010010001011110110
3122002202210
41102023312
541233010
611114250
72601300
oct1221366
9562683
10336630
1120aa08
12142986
13ba2b8
148a970
1569b20
hex522f6

336630 has 48 divisors (see below), whose sum is σ = 943920. Its totient is φ = 76608.

The previous prime is 336613. The next prime is 336631. The reversal of 336630 is 36633.

It is a super-2 number, since 2×3366302 = 226639513800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 336597 and 336606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336631) by changing a digit.

336630 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, 1356 + ... + 1584.

It is an arithmetic number, because the mean of its divisors is an integer number (19665).

2336630 is an apocalyptic number.

336630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 336630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471960).

336630 is an abundant number, since it is smaller than the sum of its proper divisors (607290).

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

336630 is a wasteful number, since it uses less digits than its factorization.

336630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 336630 is about 580.1982419829. The cubic root of 336630 is about 69.5639561026.

The spelling of 336630 in words is "three hundred thirty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 229 245 294 458 490 687 735 1145 1374 1470 1603 2290 3206 3435 4809 6870 8015 9618 11221 16030 22442 24045 33663 48090 56105 67326 112210 168315 336630