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1314325350 = 23252131991129
BaseRepresentation
bin100111001010111…
…0000001101100110
310101121010122102200
41032111300031212
510142431402400
6334230315330
744366403222
oct11625601546
93347118380
101314325350
116149a20a8
123081b8b46
1317c3b2510
14c67ad782
157a5beb00
hex4e570366

1314325350 has 144 divisors (see below), whose sum is σ = 3825276000. Its totient is φ = 321615360.

The previous prime is 1314325349. The next prime is 1314325381. The reversal of 1314325350 is 535234131.

1314325350 is a `hidden beast` number, since 131 + 432 + 53 + 50 = 666.

It is a super-2 number, since 2×13143253502 = 3454902251305245000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1163586 + ... + 1164714.

Almost surely, 21314325350 is an apocalyptic number.

1314325350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314325350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912638000).

1314325350 is an abundant number, since it is smaller than the sum of its proper divisors (2510950650).

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

1314325350 is a wasteful number, since it uses less digits than its factorization.

1314325350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1314325350 is about 36253.6253359578. The cubic root of 1314325350 is about 1095.3871152694.

Adding to 1314325350 its reverse (535234131), we get a palindrome (1849559481).

The spelling of 1314325350 in words is "one billion, three hundred fourteen million, three hundred twenty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 199 225 234 325 390 398 450 585 597 650 975 995 1129 1170 1194 1791 1950 1990 2258 2587 2925 2985 3387 3582 4975 5174 5645 5850 5970 6774 7761 8955 9950 10161 11290 12935 14677 14925 15522 16935 17910 20322 23283 25870 28225 29354 29850 33870 38805 44031 44775 46566 50805 56450 64675 73385 77610 84675 88062 89550 101610 116415 129350 132093 146770 169350 194025 220155 224671 232830 254025 264186 366925 388050 440310 449342 508050 582075 660465 674013 733850 1100775 1123355 1164150 1320930 1348026 2022039 2201550 2246710 2920723 3302325 3370065 4044078 5616775 5841446 6604650 6740130 8762169 10110195 11233550 14603615 16850325 17524338 20220390 26286507 29207230 33700650 43810845 50550975 52573014 73018075 87621690 101101950 131432535 146036150 219054225 262865070 438108450 657162675 1314325350