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18349320 = 23351113901
BaseRepresentation
bin100010111111…
…1110100001000
31021112020112110
41011333310020
514144134240
61453142320
7311652363
oct105776410
937466473
1018349320
11a3a3130
12618a9a0
133a55cb2
1426190da
151926c80
hex117fd08

18349320 has 64 divisors (see below), whose sum is σ = 60056640. Its totient is φ = 4448000.

The previous prime is 18349319. The next prime is 18349321. The reversal of 18349320 is 2394381.

18349320 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (18349319) and next prime (18349321).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (18349321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5631 + ... + 8270.

It is an arithmetic number, because the mean of its divisors is an integer number (938385).

Almost surely, 218349320 is an apocalyptic number.

18349320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18349320 is an abundant number, since it is smaller than the sum of its proper divisors (41707320).

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

18349320 is a wasteful number, since it uses less digits than its factorization.

18349320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13926 (or 13922 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 18349320 is about 4283.6106265626. The cubic root of 18349320 is about 263.7586177489.

The spelling of 18349320 in words is "eighteen million, three hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 13901 27802 41703 55604 69505 83406 111208 139010 152911 166812 208515 278020 305822 333624 417030 458733 556040 611644 764555 834060 917466 1223288 1529110 1668120 1834932 2293665 3058220 3669864 4587330 6116440 9174660 18349320