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34340100 = 22352114467
BaseRepresentation
bin1000001011111…
…1110100000100
32101121122202120
42002333310010
532242340400
63224005540
7564612624
oct202776404
971548676
1034340100
1118425253
12b6008b0
1371645b2
1447bc884
153034ca0
hex20bfd04

34340100 has 36 divisors (see below), whose sum is σ = 99358224. Its totient is φ = 9157280.

The previous prime is 34340077. The next prime is 34340143. The reversal of 34340100 is 104343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34340100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56934 + ... + 57533.

Almost surely, 234340100 is an apocalyptic number.

34340100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34340100 is an abundant number, since it is smaller than the sum of its proper divisors (65018124).

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

34340100 is a wasteful number, since it uses less digits than its factorization.

34340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114484 (or 114477 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34340100 is about 5860.0426619607. The cubic root of 34340100 is about 325.0377865336.

Adding to 34340100 its reverse (104343), we get a palindrome (34444443).

The spelling of 34340100 in words is "thirty-four million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 114467 228934 343401 457868 572335 686802 1144670 1373604 1717005 2289340 2861675 3434010 5723350 6868020 8585025 11446700 17170050 34340100