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10314045 = 3257137239
BaseRepresentation
bin100111010110…
…000100111101
3201102000012200
4213112010331
510120022140
61005022113
7153445050
oct47260475
921360180
1010314045
115905105
123554939
1321a17b1
141526a97
15d8b030
hex9d613d

10314045 has 48 divisors (see below), whose sum is σ = 20666880. Its totient is φ = 4660992.

The previous prime is 10314011. The next prime is 10314061. The reversal of 10314045 is 54041301.

It is a happy number.

It is not a de Polignac number, because 10314045 - 29 = 10313533 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43036 + ... + 43274.

It is an arithmetic number, because the mean of its divisors is an integer number (430560).

Almost surely, 210314045 is an apocalyptic number.

10314045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10314045 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

10314045 is a wasteful number, since it uses less digits than its factorization.

10314045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10314045 is about 3211.5486918308. The cubic root of 10314045 is about 217.6755617794.

Adding to 10314045 its reverse (54041301), we get a palindrome (64355346).

The spelling of 10314045 in words is "ten million, three hundred fourteen thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 137 239 315 411 685 717 959 1195 1233 1673 2055 2151 2877 3585 4795 5019 6165 8365 8631 10755 14385 15057 25095 32743 43155 75285 98229 163715 229201 294687 491145 687603 1146005 1473435 2062809 3438015 10314045