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35141040 = 24345111729
BaseRepresentation
bin1000011000001…
…1010110110000
32110010100110000
42012003112300
532444003130
63253110000
7604460004
oct206032660
973110400
1035141040
1118921a90
12b928300
13738501c
14494a704
153142260
hex21835b0

35141040 has 400 divisors, whose sum is σ = 145838880. Its totient is φ = 7741440.

The previous prime is 35141003. The next prime is 35141087. The reversal of 35141040 is 4014153.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1211746 + ... + 1211774.

Almost surely, 235141040 is an apocalyptic number.

35141040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72919440).

35141040 is an abundant number, since it is smaller than the sum of its proper divisors (110697840).

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

35141040 is a wasteful number, since it uses less digits than its factorization.

35141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 35141040 is about 5927.9878542386. The cubic root of 35141040 is about 327.5454242298.

Adding to 35141040 its reverse (4014153), we get a palindrome (39155193).

It can be divided in two parts, 3514 and 1040, that added together give a palindrome (4554).

The spelling of 35141040 in words is "thirty-five million, one hundred forty-one thousand, forty".