Search a number
-
+
361043430 = 235112791259
BaseRepresentation
bin10101100001010…
…001010111100110
3221011100220110220
4111201101113212
51214411342210
655454225210
711642550516
oct2541212746
9834326426
10361043430
11175888300
12a0ab5206
1359a51987
1435d43846
1521a6ac70
hex158515e6

361043430 has 96 divisors (see below), whose sum is σ = 965260800. Its totient is φ = 86349120.

The previous prime is 361043429. The next prime is 361043471. The reversal of 361043430 is 34340163.

361043430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 361043430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286141 + ... + 287399.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2361043430 is an apocalyptic number.

361043430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361043430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482630400).

361043430 is an abundant number, since it is smaller than the sum of its proper divisors (604217370).

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

361043430 is a wasteful number, since it uses less digits than its factorization.

361043430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 361043430 is about 19001.1428603650. The cubic root of 361043430 is about 712.0652885360.

Adding to 361043430 its reverse (34340163), we get a palindrome (395383593).

The spelling of 361043430 in words is "three hundred sixty-one million, forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 121 158 165 237 242 330 363 395 474 605 726 790 869 1185 1210 1259 1738 1815 2370 2518 2607 3630 3777 4345 5214 6295 7554 8690 9559 12590 13035 13849 18885 19118 26070 27698 28677 37770 41547 47795 57354 69245 83094 95590 99461 138490 143385 152339 198922 207735 286770 298383 304678 415470 457017 497305 596766 761695 914034 994610 1094071 1491915 1523390 2188142 2285085 2983830 3282213 4570170 5470355 6564426 10940710 12034781 16411065 24069562 32822130 36104343 60173905 72208686 120347810 180521715 361043430