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336329028 = 223275922621
BaseRepresentation
bin10100000010111…
…111100101000100
3212102212021200200
4110002333211010
51142100012103
653212410500
711222515050
oct2402774504
9772767620
10336329028
11162937a82
1294776a30
13548aa779
143294cc60
151e7d80a3
hex140bf944

336329028 has 72 divisors (see below), whose sum is σ = 988128960. Its totient is φ = 94461120.

The previous prime is 336329017. The next prime is 336329029. The reversal of 336329028 is 820923633.

336329028 is a `hidden beast` number, since 3 + 363 + 290 + 2 + 8 = 666.

It is a super-2 number, since 2×3363290282 = 226234430150849568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 336328983 and 336329001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336329029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3558 + ... + 26178.

Almost surely, 2336329028 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 336329028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494064480).

336329028 is an abundant number, since it is smaller than the sum of its proper divisors (651799932).

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

336329028 is a wasteful number, since it uses less digits than its factorization.

336329028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22697 (or 22692 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 336329028 is about 18339.2755582111. The cubic root of 336329028 is about 695.4321815511.

The spelling of 336329028 in words is "three hundred thirty-six million, three hundred twenty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 14868 22621 45242 67863 90484 135726 158347 203589 271452 316694 407178 475041 633388 814356 950082 1334639 1425123 1900164 2669278 2850246 4003917 5338556 5700492 8007834 9342473 12011751 16015668 18684946 24023502 28027419 37369892 48047004 56054838 84082257 112109676 168164514 336329028