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3494066200 = 2352712411021
BaseRepresentation
bin1101000001000011…
…0011100000011000
3100000111200221202021
43100100303200120
524123440104300
61334413544224
7152405033632
oct32020634030
910014627667
103494066200
111533344719
128161a5074
13438b6c7c1
14252095a52
15156b38d1a
hexd0433818

3494066200 has 96 divisors (see below), whose sum is σ = 8280407520. Its totient is φ = 1370880000.

The previous prime is 3494066171. The next prime is 3494066201. The reversal of 3494066200 is 26604943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3494066201) 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 23 ways as a sum of consecutive naturals, for example, 3421690 + ... + 3422710.

It is an arithmetic number, because the mean of its divisors is an integer number (86254245).

Almost surely, 23494066200 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 3494066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140203760).

3494066200 is an abundant number, since it is smaller than the sum of its proper divisors (4786341320).

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

3494066200 is a wasteful number, since it uses less digits than its factorization.

3494066200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 3494066200 is about 59110.6267941730. The cubic root of 3494066200 is about 1517.4359762267.

The spelling of 3494066200 in words is "three billion, four hundred ninety-four million, sixty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 241 284 355 482 568 710 964 1021 1205 1420 1775 1928 2042 2410 2840 3550 4084 4820 5105 6025 7100 8168 9640 10210 12050 14200 17111 20420 24100 25525 34222 40840 48200 51050 68444 72491 85555 102100 136888 144982 171110 204200 246061 289964 342220 362455 427775 492122 579928 684440 724910 855550 984244 1230305 1449820 1711100 1812275 1968488 2460610 2899640 3422200 3624550 4921220 6151525 7249100 9842440 12303050 14498200 17470331 24606100 34940662 49212200 69881324 87351655 139762648 174703310 349406620 436758275 698813240 873516550 1747033100 3494066200