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35814132 = 2232994837
BaseRepresentation
bin1000100010011…
…1101011110100
32111101112202100
42020213223310
533132023012
63315342100
7613262244
oct210475364
974345670
1035814132
1119241762
12bbb1930
13755c4c3
144a83b24
1532268dc
hex2227af4

35814132 has 18 divisors (see below), whose sum is σ = 90530258. Its totient is φ = 11938032.

The previous prime is 35814131. The next prime is 35814133. The reversal of 35814132 is 23141853.

It is a happy number.

35814132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35814131) and next prime (35814133).

It can be written as a sum of positive squares in only one way, i.e., 27311076 + 8503056 = 5226^2 + 2916^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 35814096 and 35814105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35814131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 497383 + ... + 497454.

Almost surely, 235814132 is an apocalyptic number.

It is an amenable number.

35814132 is an abundant number, since it is smaller than the sum of its proper divisors (54716126).

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

35814132 is a wasteful number, since it uses less digits than its factorization.

35814132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994847 (or 994842 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 35814132 is about 5984.4909557957. The cubic root of 35814132 is about 329.6234824167.

Adding to 35814132 its reverse (23141853), we get a palindrome (58955985).

The spelling of 35814132 in words is "thirty-five million, eight hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 994837 1989674 2984511 3979348 5969022 8953533 11938044 17907066 35814132