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319072014 = 23317503691
BaseRepresentation
bin10011000001001…
…010011100001110
3211020101112112000
4103001022130032
51123140301024
651354453130
710623032052
oct2301123416
9736345460
10319072014
11154120588
128aa341a6
1351147a11
1430539c62
151d029cc9
hex1304a70e

319072014 has 64 divisors (see below), whose sum is σ = 753338880. Its totient is φ = 99757440.

The previous prime is 319072001. The next prime is 319072043. The reversal of 319072014 is 410270913.

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

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 31 ways as a sum of consecutive naturals, for example, 461409 + ... + 462099.

It is an arithmetic number, because the mean of its divisors is an integer number (11770920).

Almost surely, 2319072014 is an apocalyptic number.

319072014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 319072014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376669440).

319072014 is an abundant number, since it is smaller than the sum of its proper divisors (434266866).

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

319072014 is a wasteful number, since it uses less digits than its factorization.

319072014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 319072014 is about 17862.5869906909. The cubic root of 319072014 is about 683.3285577827.

The spelling of 319072014 in words is "three hundred nineteen million, seventy-two thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 503 691 918 1006 1382 1509 2073 3018 4146 4527 6219 8551 9054 11747 12438 13581 17102 18657 23494 25653 27162 35241 37314 51306 70482 76959 105723 153918 211446 230877 317169 347573 461754 634338 695146 1042719 2085438 3128157 5908741 6256314 9384471 11817482 17726223 18768942 35452446 53178669 106357338 159536007 319072014