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35145104 = 2423432221
BaseRepresentation
bin1000011000010…
…0010110010000
32110010120000112
42012010112100
532444120404
63253140452
7604504601
oct206042620
973116015
1035145104
1118925045
12b92a728
137386b27
14494bda8
15314356e
hex2184590

35145104 has 40 divisors (see below), whose sum is σ = 72739392. Its totient is φ = 16410240.

The previous prime is 35145083. The next prime is 35145109. The reversal of 35145104 is 40154153.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 35145104.

It is not an unprimeable number, because it can be changed into a prime (35145109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14714 + ... + 16934.

Almost surely, 235145104 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 35145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36369696).

35145104 is an abundant number, since it is smaller than the sum of its proper divisors (37594288).

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

35145104 is a wasteful number, since it uses less digits than its factorization.

35145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 35145104 is about 5928.3306250580. The cubic root of 35145104 is about 327.5580504288.

Adding to 35145104 its reverse (40154153), we get a palindrome (75299257).

The spelling of 35145104 in words is "thirty-five million, one hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 344 368 688 989 1978 2221 3956 4442 7912 8884 15824 17768 35536 51083 95503 102166 191006 204332 382012 408664 764024 817328 1528048 2196569 4393138 8786276 17572552 35145104