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35380641 = 3193120023
BaseRepresentation
bin1000011011110…
…1110110100001
32110120112010010
42012331312201
533024140031
63302155133
7606505362
oct206756641
973515103
1035380641
1118a75aaa
12ba22aa9
13743a0ba
1449adb69
15318d246
hex21bdda1

35380641 has 16 divisors (see below), whose sum is σ = 51261440. Its totient is φ = 21623760.

The previous prime is 35380607. The next prime is 35380673. The reversal of 35380641 is 14608353.

It is not a de Polignac number, because 35380641 - 26 = 35380577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 35380599 and 35380608.

It is not an unprimeable number, because it can be changed into a prime (35380441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8245 + ... + 11778.

It is an arithmetic number, because the mean of its divisors is an integer number (3203840).

Almost surely, 235380641 is an apocalyptic number.

35380641 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

35380641 is a deficient number, since it is larger than the sum of its proper divisors (15880799).

35380641 is a wasteful number, since it uses less digits than its factorization.

35380641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20076.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 35380641 is about 5948.1628256126. The cubic root of 35380641 is about 328.2881694400.

Adding to 35380641 its reverse (14608353), we get a palindrome (49988994).

The spelling of 35380641 in words is "thirty-five million, three hundred eighty thousand, six hundred forty-one".

Divisors: 1 3 19 31 57 93 589 1767 20023 60069 380437 620713 1141311 1862139 11793547 35380641