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453052314 = 2321121316001
BaseRepresentation
bin11011000000010…
…000011110011010
31011120111102221100
4123000100132122
51411440133224
6112542252230
714140611141
oct3300203632
91146442840
10453052314
11212810a00
12107887076
1372b280c0
1444254758
1529b92ac9
hex1b01079a

453052314 has 72 divisors (see below), whose sum is σ = 1162033236. Its totient is φ = 126720000.

The previous prime is 453052277. The next prime is 453052319. The reversal of 453052314 is 413250354.

453052314 is a `hidden beast` number, since 45 + 305 + 2 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 453051225 + 1089 = 21285^2 + 33^2 .

It is not an unprimeable number, because it can be changed into a prime (453052319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20314 + ... + 36314.

Almost surely, 2453052314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453052314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581016618).

453052314 is an abundant number, since it is smaller than the sum of its proper divisors (708980922).

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

453052314 is a wasteful number, since it uses less digits than its factorization.

453052314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16044 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 453052314 is about 21285.0255813800. The cubic root of 453052314 is about 768.0381349065.

The spelling of 453052314 in words is "four hundred fifty-three million, fifty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2574 3146 4719 9438 14157 16001 28314 32002 48003 96006 144009 176011 208013 288018 352022 416026 528033 624039 1056066 1248078 1584099 1872117 1936121 2288143 3168198 3744234 3872242 4576286 5808363 6864429 11616726 13728858 17425089 20593287 25169573 34850178 41186574 50339146 75508719 151017438 226526157 453052314