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336794112 = 29352707
BaseRepresentation
bin10100000100110…
…001001000000000
3212110201220200000
4110010301020000
51142204402422
653230400000
711226463014
oct2404611000
9773656600
10336794112
11163125446
1294960000
1354a11375
1432a30544
151e87acac
hex14131200

336794112 has 120 divisors (see below), whose sum is σ = 1008383376. Its totient is φ = 112223232.

The previous prime is 336794111. The next prime is 336794113. The reversal of 336794112 is 211497633.

It is an interprime number because it is at equal distance from previous prime (336794111) and next prime (336794113).

It is a super-2 number, since 2×3367941122 = 226860547755737088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (336794111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123063 + ... + 125769.

Almost surely, 2336794112 is an apocalyptic number.

336794112 is a gapful number since it is divisible by the number (32) 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 336794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504191688).

336794112 is an abundant number, since it is smaller than the sum of its proper divisors (671589264).

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

336794112 is an frugal number, since it uses more digits than its factorization.

336794112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2712 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 336794112 is about 18351.9511769185. The cubic root of 336794112 is about 695.7525874472.

It can be divided in two parts, 3367 and 94112, that added together give a palindrome (97479).

The spelling of 336794112 in words is "three hundred thirty-six million, seven hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 2707 3456 3888 4608 5184 5414 6912 7776 8121 10368 10828 13824 15552 16242 20736 21656 24363 31104 32484 41472 43312 48726 62208 64968 73089 86624 97452 124416 129936 146178 173248 194904 219267 259872 292356 346496 389808 438534 519744 584712 657801 692992 779616 877068 1039488 1169424 1315602 1385984 1559232 1754136 2078976 2338848 2631204 3118464 3508272 4157952 4677696 5262408 6236928 7016544 9355392 10524816 12473856 14033088 18710784 21049632 28066176 37421568 42099264 56132352 84198528 112264704 168397056 336794112