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1314345450 = 2352113721529
BaseRepresentation
bin100111001010111…
…0101000111101010
310101121011200000010
41032111311013222
510142433023300
6334230552350
744366515635
oct11625650752
93347150003
101314345450
11614a06210
123082086b6
1317c3bb702
14c67b6c1c
157a5c5a50
hex4e5751ea

1314345450 has 96 divisors (see below), whose sum is σ = 3652176960. Its totient is φ = 310003200.

The previous prime is 1314345443. The next prime is 1314345469. The reversal of 1314345450 is 545434131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50286 + ... + 71814.

It is an arithmetic number, because the mean of its divisors is an integer number (38043510).

Almost surely, 21314345450 is an apocalyptic number.

1314345450 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 1314345450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826088480).

1314345450 is an abundant number, since it is smaller than the sum of its proper divisors (2337831510).

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

1314345450 is a wasteful number, since it uses less digits than its factorization.

1314345450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21592 (or 21587 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1314345450 is about 36253.9025485533. The cubic root of 1314345450 is about 1095.3926991656.

Adding to 1314345450 its reverse (545434131), we get a palindrome (1859779581).

The spelling of 1314345450 in words is "one billion, three hundred fourteen million, three hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 37 50 55 66 74 75 110 111 150 165 185 222 275 330 370 407 550 555 814 825 925 1110 1221 1650 1850 2035 2442 2775 4070 5550 6105 10175 12210 20350 21529 30525 43058 61050 64587 107645 129174 215290 236819 322935 473638 538225 645870 710457 796573 1076450 1184095 1420914 1593146 1614675 2368190 2389719 3229350 3552285 3982865 4779438 5920475 7104570 7965730 8762303 11840950 11948595 17524606 17761425 19914325 23897190 26286909 35522850 39828650 43811515 52573818 59742975 87623030 119485950 131434545 219057575 262869090 438115150 657172725 1314345450