Search a number
-
+
366045330 = 23572337481
BaseRepresentation
bin10101110100010…
…110100010010010
3221111210000210110
4111310112202102
51222201422310
6100153342150
712033222360
oct2564264222
9844700713
10366045330
11178694302
12a2707956
135aab3591
1436886630
1522207d20
hex15d16892

366045330 has 64 divisors (see below), whose sum is σ = 1008453888. Its totient is φ = 83297280.

The previous prime is 366045301. The next prime is 366045347. The reversal of 366045330 is 33540663.

It is a super-2 number, since 2×3660453302 = 267978367229617800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 45190 + ... + 52670.

It is an arithmetic number, because the mean of its divisors is an integer number (15757092).

Almost surely, 2366045330 is an apocalyptic number.

366045330 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 366045330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504226944).

366045330 is an abundant number, since it is smaller than the sum of its proper divisors (642408558).

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

366045330 is a wasteful number, since it uses less digits than its factorization.

366045330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731.

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 366045330 is about 19132.3111515572. The cubic root of 366045330 is about 715.3385392116.

Adding to 366045330 its reverse (33540663), we get a palindrome (399585993).

The spelling of 366045330 in words is "three hundred sixty-six million, forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 233 466 699 1165 1398 1631 2330 3262 3495 4893 6990 7481 8155 9786 14962 16310 22443 24465 37405 44886 48930 52367 74810 104734 112215 157101 224430 261835 314202 523670 785505 1571010 1743073 3486146 5229219 8715365 10458438 12201511 17430730 24403022 26146095 36604533 52292190 61007555 73209066 122015110 183022665 366045330