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34849400 = 23521631069
BaseRepresentation
bin1000010011110…
…0001001111000
32102120112101112
42010330021320
532410140100
63242535452
7602133515
oct204741170
972515345
1034849400
1118742963
12b807588
1372b2361
1448b230c
1530d5b35
hex213c278

34849400 has 48 divisors (see below), whose sum is σ = 81598200. Its totient is φ = 13841280.

The previous prime is 34849391. The next prime is 34849403. The reversal of 34849400 is 494843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34849403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32066 + ... + 33134.

Almost surely, 234849400 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 34849400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40799100).

34849400 is an abundant number, since it is smaller than the sum of its proper divisors (46748800).

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

34849400 is a wasteful number, since it uses less digits than its factorization.

34849400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 34849400 is about 5903.3380387709. The cubic root of 34849400 is about 326.6367921220.

The spelling of 34849400 in words is "thirty-four million, eight hundred forty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1069 1304 1630 2138 3260 4075 4276 5345 6520 8150 8552 10690 16300 21380 26725 32600 42760 53450 106900 174247 213800 348494 696988 871235 1393976 1742470 3484940 4356175 6969880 8712350 17424700 34849400