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1320104430 = 232529714937
BaseRepresentation
bin100111010101111…
…0011000111101110
310102000000020211200
41032223303013232
510200421320210
6334554230330
744466462651
oct11653630756
93360006750
101320104430
11618189aa7
1230a1253a6
13180656aa8
14c7475898
157ad620c0
hex4eaf31ee

1320104430 has 48 divisors (see below), whose sum is σ = 3434122224. Its totient is φ = 351838080.

The previous prime is 1320104419. The next prime is 1320104437. The reversal of 1320104430 is 344010231.

1320104430 is a `hidden beast` number, since 132 + 0 + 104 + 430 = 666.

It is a super-2 number, since 2×13201044302 = 3485351412211249800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320104437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264922 + ... + 269858.

It is an arithmetic number, because the mean of its divisors is an integer number (71544213).

Almost surely, 21320104430 is an apocalyptic number.

1320104430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1320104430 is an abundant number, since it is smaller than the sum of its proper divisors (2114017794).

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

1320104430 is a wasteful number, since it uses less digits than its factorization.

1320104430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1320104430 is about 36333.2413913210. The cubic root of 1320104430 is about 1096.9902379231.

Adding to 1320104430 its reverse (344010231), we get a palindrome (1664114661).

The spelling of 1320104430 in words is "one billion, three hundred twenty million, one hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2971 4937 5942 8913 9874 14811 14855 17826 24685 26739 29622 29710 44433 44565 49370 53478 74055 88866 89130 133695 148110 222165 267390 444330 14667827 29335654 44003481 73339135 88006962 132010443 146678270 220017405 264020886 440034810 660052215 1320104430