Search a number
-
+
35144361 = 3677197
BaseRepresentation
bin1000011000010…
…0001010101001
32110010112000000
42012010022221
532444104421
63253133213
7604502460
oct206041251
973115000
1035144361
111892452a
12b92a209
1373866a5
14494b9d7
153143226
hex21842a9

35144361 has 56 divisors (see below), whose sum is σ = 61697664. Its totient is φ = 19595520.

The previous prime is 35144341. The next prime is 35144363. The reversal of 35144361 is 16344153.

It is not a de Polignac number, because 35144361 - 223 = 26755753 is a prime.

It is a super-2 number, since 2×351443612 = 2470252220196642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (35144363) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 362265 + ... + 362361.

It is an arithmetic number, because the mean of its divisors is an integer number (1101744).

Almost surely, 235144361 is an apocalyptic number.

It is an amenable number.

35144361 is a deficient number, since it is larger than the sum of its proper divisors (26553303).

35144361 is an frugal number, since it uses more digits than its factorization.

35144361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 35144361 is about 5928.2679595308. The cubic root of 35144361 is about 327.5557421192. Note that the first 3 decimals are identical.

It can be divided in two parts, 3514 and 4361, that added together give a triangular number (7875 = T125).

The spelling of 35144361 in words is "thirty-five million, one hundred forty-four thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 71 81 97 189 213 243 291 497 567 639 679 729 873 1491 1701 1917 2037 2619 4473 5103 5751 6111 6887 7857 13419 17253 18333 20661 23571 40257 48209 51759 54999 61983 70713 120771 144627 164997 185949 362313 433881 494991 557847 1301643 1673541 3904929 5020623 11714787 35144361