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336476052 = 2233111072647
BaseRepresentation
bin10100000011100…
…011011110010100
3212110010202101000
4110003203132110
51142114213202
653215503300
711223666513
oct2403433624
9773122330
10336476052
11162a28490
1294827b30
135492c673
143298a67a
151e81691c
hex140e3794

336476052 has 96 divisors (see below), whose sum is σ = 960906240. Its totient is φ = 100971360.

The previous prime is 336476051. The next prime is 336476057. The reversal of 336476052 is 250674633.

336476052 is a `hidden beast` number, since 3 + 3 + 6 + 47 + 605 + 2 = 666.

It is a super-2 number, since 2×3364760522 = 226432267139013408, 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 = 336475998 and 336476016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336476051) 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 31 ways as a sum of consecutive naturals, for example, 125793 + ... + 128439.

It is an arithmetic number, because the mean of its divisors is an integer number (10009440).

Almost surely, 2336476052 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 336476052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480453120).

336476052 is an abundant number, since it is smaller than the sum of its proper divisors (624430188).

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

336476052 is a wasteful number, since it uses less digits than its factorization.

336476052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 336476052 is about 18343.2835664720. The cubic root of 336476052 is about 695.5335013080.

The spelling of 336476052 in words is "three hundred thirty-six million, four hundred seventy-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 107 108 132 198 214 297 321 396 428 594 642 963 1177 1188 1284 1926 2354 2647 2889 3531 3852 4708 5294 5778 7062 7941 10588 10593 11556 14124 15882 21186 23823 29117 31764 31779 42372 47646 58234 63558 71469 87351 95292 116468 127116 142938 174702 262053 283229 285876 349404 524106 566458 786159 849687 1048212 1132916 1572318 1699374 2549061 3115519 3144636 3398748 5098122 6231038 7647183 9346557 10196244 12462076 15294366 18693114 28039671 30588732 37386228 56079342 84119013 112158684 168238026 336476052