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34450104 = 233131091013
BaseRepresentation
bin1000001101101…
…0101010111000
32101211020122210
42003122222320
532304400404
63230215120
7565551423
oct203325270
971736583
1034450104
111849a967
12b6544a0
1371a26a0
14480a9ba
153057689
hex20daab8

34450104 has 64 divisors (see below), whose sum is σ = 93693600. Its totient is φ = 10492416.

The previous prime is 34450103. The next prime is 34450121. The reversal of 34450104 is 40105443.

It is a super-2 number, since 2×344501042 = 2373619331221632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34450103) 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, 33502 + ... + 34514.

Almost surely, 234450104 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 34450104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46846800).

34450104 is an abundant number, since it is smaller than the sum of its proper divisors (59243496).

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

34450104 is a wasteful number, since it uses less digits than its factorization.

34450104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 34450104 is about 5869.4210958152. The cubic root of 34450104 is about 325.3844885444.

Adding to 34450104 its reverse (40105443), we get a palindrome (74555547).

The spelling of 34450104 in words is "thirty-four million, four hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 218 312 327 436 654 872 1013 1308 1417 2026 2616 2834 3039 4052 4251 5668 6078 8104 8502 11336 12156 13169 17004 24312 26338 34008 39507 52676 79014 105352 110417 158028 220834 316056 331251 441668 662502 883336 1325004 1435421 2650008 2870842 4306263 5741684 8612526 11483368 17225052 34450104