Search a number
-
+
364122330 = 235111326529
BaseRepresentation
bin10101101101000…
…001000011011010
3221101011022221020
4111231001003122
51221203403310
6100044223310
712010663065
oct2555010332
9841138836
10364122330
111775a0550
12a1b3ab36
135a58c200
14365058dc
1521e78170
hex15b410da

364122330 has 96 divisors (see below), whose sum is σ = 1032471360. Its totient is φ = 81469440.

The previous prime is 364122307. The next prime is 364122413. The reversal of 364122330 is 33221463.

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 364122330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52506 + ... + 59034.

It is an arithmetic number, because the mean of its divisors is an integer number (10754910).

Almost surely, 2364122330 is an apocalyptic number.

364122330 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 364122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516235680).

364122330 is an abundant number, since it is smaller than the sum of its proper divisors (668349030).

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

364122330 is a wasteful number, since it uses less digits than its factorization.

364122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 6563 counting only the distinct ones).

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

The square root of 364122330 is about 19081.9896761318. The cubic root of 364122330 is about 714.0836746478.

Adding to 364122330 its reverse (33221463), we get a palindrome (397343793).

The spelling of 364122330 in words is "three hundred sixty-four million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 169 195 286 330 338 390 429 507 715 845 858 1014 1430 1690 1859 2145 2535 3718 4290 5070 5577 6529 9295 11154 13058 18590 19587 27885 32645 39174 55770 65290 71819 84877 97935 143638 169754 195870 215457 254631 359095 424385 430914 509262 718190 848770 933647 1077285 1103401 1273155 1867294 2154570 2206802 2546310 2800941 3310203 4668235 5517005 5601882 6620406 9336470 11034010 12137411 14004705 16551015 24274822 28009410 33102030 36412233 60687055 72824466 121374110 182061165 364122330