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103354112 = 284143229
BaseRepresentation
bin1100010100100…
…00111100000000
321012110221012002
412022100330000
5202424312422
614131123132
72363331641
oct612207400
9235427162
10103354112
1153382524
122a7434a8
13185493a4
14da256c8
159118692
hex6290f00

103354112 has 72 divisors (see below), whose sum is σ = 217195440. Its totient is φ = 49029120.

The previous prime is 103354109. The next prime is 103354123. The reversal of 103354112 is 211453301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451214 + ... + 451442.

Almost surely, 2103354112 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 103354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108597720).

103354112 is an abundant number, since it is smaller than the sum of its proper divisors (113841328).

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

103354112 is an equidigital number, since it uses as much as digits as its factorization.

103354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 103354112 is about 10166.3224422600. The cubic root of 103354112 is about 469.2913903060.

The spelling of 103354112 in words is "one hundred three million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 128 164 172 229 256 328 344 458 656 688 916 1312 1376 1763 1832 2624 2752 3526 3664 5248 5504 7052 7328 9389 9847 10496 11008 14104 14656 18778 19694 28208 29312 37556 39388 56416 58624 75112 78776 112832 150224 157552 225664 300448 315104 403727 451328 600896 630208 807454 1201792 1260416 1614908 2403584 2520832 3229816 6459632 12919264 25838528 51677056 103354112