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1164430314 = 232194497583
BaseRepresentation
bin100010101100111…
…1100101111101010
310000011002012002200
41011121330233222
54341043232224
6311313441030
740566331365
oct10531745752
93004065080
101164430314
11548321803
12285b70176
1315731c328
14b09110dc
156c3615c9
hex4567cbea

1164430314 has 48 divisors (see below), whose sum is σ = 2661984000. Its totient is φ = 366847488.

The previous prime is 1164430307. The next prime is 1164430327. The reversal of 1164430314 is 4130344611.

1164430314 is a `hidden beast` number, since 1 + 1 + 644 + 3 + 0 + 3 + 14 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149767 + ... + 157349.

It is an arithmetic number, because the mean of its divisors is an integer number (55458000).

Almost surely, 21164430314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164430314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330992000).

1164430314 is an abundant number, since it is smaller than the sum of its proper divisors (1497553686).

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

1164430314 is a wasteful number, since it uses less digits than its factorization.

1164430314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8056 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1164430314 is about 34123.7499990842. The cubic root of 1164430314 is about 1052.0535213750.

Adding to 1164430314 its reverse (4130344611), we get a palindrome (5294774925).

The spelling of 1164430314 in words is "one billion, one hundred sixty-four million, four hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 449 898 1347 2694 4041 7583 8082 8531 15166 17062 22749 25593 45498 51186 68247 76779 136494 144077 153558 288154 432231 864462 1296693 2593386 3404767 6809534 10214301 20428602 30642903 61285806 64690573 129381146 194071719 388143438 582215157 1164430314