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319014045 = 365712503
BaseRepresentation
bin10011000000111…
…100010010011101
3211020021121000000
4103000330102131
51123131422140
651353324513
710622401050
oct2300742235
9736247000
10319014045
11154090a79
128aa06739
135112750c
1430522a97
151d017a30
hex1303c49d

319014045 has 56 divisors (see below), whose sum is σ = 656009856. Its totient is φ = 145823328.

The previous prime is 319014043. The next prime is 319014089. The reversal of 319014045 is 540410913.

It is not a de Polignac number, because 319014045 - 21 = 319014043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319014041) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 19264 + ... + 31766.

Almost surely, 2319014045 is an apocalyptic number.

319014045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

319014045 is an abundant number, since it is smaller than the sum of its proper divisors (336995811).

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

319014045 is an equidigital number, since it uses as much as digits as its factorization.

319014045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 319014045 is about 17860.9642796799. The cubic root of 319014045 is about 683.2871729014.

Adding to 319014045 its reverse (540410913), we get a palindrome (859424958).

The spelling of 319014045 in words is "three hundred nineteen million, fourteen thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1701 2835 3645 5103 8505 12503 25515 37509 62515 87521 112527 187545 262563 337581 437605 562635 787689 1012743 1312815 1687905 2363067 3038229 3938445 5063715 7089201 9114687 11815335 15191145 21267603 35446005 45573435 63802809 106338015 319014045