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383642112 = 2937311151
BaseRepresentation
bin10110110111011…
…110101000000000
3222201220001001010
4112313132220000
51241203021422
6102022440520
712335622060
oct2667365000
9881801033
10383642112
11187612aa7
12a8593140
1361634b89
1438d473a0
1523a31b0c
hex16ddea00

383642112 has 160 divisors (see below), whose sum is σ = 1206779904. Its totient is φ = 105984000.

The previous prime is 383642041. The next prime is 383642113. The reversal of 383642112 is 211246383.

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

It is a self number, because there is not a number n which added to its sum of digits gives 383642112.

It is not an unprimeable number, because it can be changed into a prime (383642113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332737 + ... + 333887.

Almost surely, 2383642112 is an apocalyptic number.

383642112 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 383642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603389952).

383642112 is an abundant number, since it is smaller than the sum of its proper divisors (823137792).

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

383642112 is a wasteful number, since it uses less digits than its factorization.

383642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1194 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 383642112 is about 19586.7841158267. The cubic root of 383642112 is about 726.6223594266.

Adding to 383642112 its reverse (211246383), we get a palindrome (594888495).

The spelling of 383642112 in words is "three hundred eighty-three million, six hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1151 1302 1344 1488 1536 1736 1792 1984 2302 2604 2688 2976 3453 3472 3584 3968 4604 5208 5376 5952 6906 6944 7936 8057 9208 10416 10752 11904 13812 13888 15872 16114 18416 20832 23808 24171 27624 27776 32228 35681 36832 41664 47616 48342 55248 55552 64456 71362 73664 83328 96684 107043 110496 111104 128912 142724 147328 166656 193368 214086 220992 249767 257824 285448 294656 333312 386736 428172 441984 499534 515648 570896 589312 749301 773472 856344 883968 999068 1031296 1141792 1498602 1546944 1712688 1767936 1998136 2062592 2283584 2997204 3093888 3425376 3996272 4125184 4567168 5994408 6187776 6850752 7992544 9134336 11988816 12375552 13701504 15985088 18268672 23977632 27403008 31970176 47955264 54806016 63940352 95910528 127880704 191821056 383642112