Search a number
-
+
364104030 = 235192327773
BaseRepresentation
bin10101101100111…
…100100101011110
3221101010101211110
4111230330211132
51221202312110
6100044002450
712010555533
oct2554744536
9841111743
10364104030
11177588824
12a1b30426
135a583a94
14364dcd8a
1521e72a20
hex15b3c95e

364104030 has 64 divisors (see below), whose sum is σ = 959869440. Its totient is φ = 87981696.

The previous prime is 364104029. The next prime is 364104031. The reversal of 364104030 is 30401463.

It is an interprime number because it is at equal distance from previous prime (364104029) and next prime (364104031).

It is a junction number, because it is equal to n+sod(n) for n = 364103988 and 364104006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364104031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777 + ... + 26996.

It is an arithmetic number, because the mean of its divisors is an integer number (14997960).

Almost surely, 2364104030 is an apocalyptic number.

364104030 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 364104030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479934720).

364104030 is an abundant number, since it is smaller than the sum of its proper divisors (595765410).

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

364104030 is a wasteful number, since it uses less digits than its factorization.

364104030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27825.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 364104030 is about 19081.5101603620. The cubic root of 364104030 is about 714.0717116809.

Adding to 364104030 its reverse (30401463), we get a palindrome (394505493).

The spelling of 364104030 in words is "three hundred sixty-four million, one hundred four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 190 230 285 345 437 570 690 874 1311 2185 2622 4370 6555 13110 27773 55546 83319 138865 166638 277730 416595 527687 638779 833190 1055374 1277558 1583061 1916337 2638435 3166122 3193895 3832674 5276870 6387790 7915305 9581685 12136801 15830610 19163370 24273602 36410403 60684005 72820806 121368010 182052015 364104030