Search a number
-
+
35141424 = 24323139229
BaseRepresentation
bin1000011000001…
…1011100110000
32110010100222020
42012003130300
532444011144
63253111440
7604461063
oct206033460
973110866
1035141424
11189222aa
12b928580
137385256
14494a8da
153142419
hex2183730

35141424 has 80 divisors (see below), whose sum is σ = 95827200. Its totient is φ = 11075328.

The previous prime is 35141423. The next prime is 35141443. The reversal of 35141424 is 42414153.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 35141394 and 35141403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35141423) 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, 153342 + ... + 153570.

It is an arithmetic number, because the mean of its divisors is an integer number (1197840).

Almost surely, 235141424 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 35141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47913600).

35141424 is an abundant number, since it is smaller than the sum of its proper divisors (60685776).

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

35141424 is a wasteful number, since it uses less digits than its factorization.

35141424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 35141424 is about 5928.0202428804. The cubic root of 35141424 is about 327.5466172982.

Adding to 35141424 its reverse (42414153), we get a palindrome (77555577).

The spelling of 35141424 in words is "thirty-five million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 139 184 229 276 278 368 417 458 552 556 687 834 916 1104 1112 1374 1668 1832 2224 2748 3197 3336 3664 5267 5496 6394 6672 9591 10534 10992 12788 15801 19182 21068 25576 31602 31831 38364 42136 51152 63204 63662 76728 84272 95493 126408 127324 153456 190986 252816 254648 381972 509296 732113 763944 1464226 1527888 2196339 2928452 4392678 5856904 8785356 11713808 17570712 35141424