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35234420 = 22513294673
BaseRepresentation
bin1000011001101…
…0001001110100
32110022002112112
42012122021310
533010000140
63255110152
7605326154
oct206321164
973262475
1035234420
1118986161
12b972358
1373b8690
144972764
15315ec65
hex219a274

35234420 has 48 divisors (see below), whose sum is σ = 82449360. Its totient is φ = 12558336.

The previous prime is 35234401. The next prime is 35234431. The reversal of 35234420 is 2443253.

It can be written as a sum of positive squares in 8 ways, for example, as 45796 + 35188624 = 214^2 + 5932^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5204 + ... + 9876.

It is an arithmetic number, because the mean of its divisors is an integer number (1717695).

Almost surely, 235234420 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 35234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41224680).

35234420 is an abundant number, since it is smaller than the sum of its proper divisors (47214940).

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

35234420 is a wasteful number, since it uses less digits than its factorization.

35234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 35234420 is about 5935.8588258145. The cubic root of 35234420 is about 327.8352955550.

Adding to 35234420 its reverse (2443253), we get a palindrome (37677673).

The spelling of 35234420 in words is "thirty-five million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 4673 7540 9346 18692 23365 46730 60749 93460 121498 135517 242996 271034 303745 542068 607490 677585 1214980 1355170 1761721 2710340 3523442 7046884 8808605 17617210 35234420