Search a number
-
+
319739805 = 34571110253
BaseRepresentation
bin10011000011101…
…101011110011101
3211021122110120000
4103003231132131
51123323133210
651421044513
710631513010
oct2303553635
9737573500
10319739805
11154537280
128b0b6739
135131c968
1430671377
151d10cac0
hex130ed79d

319739805 has 80 divisors (see below), whose sum is σ = 714662784. Its totient is φ = 132865920.

The previous prime is 319739801. The next prime is 319739807. The reversal of 319739805 is 508937913.

It is a happy number.

It is not a de Polignac number, because 319739805 - 22 = 319739801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319739801) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 26059 + ... + 36311.

Almost surely, 2319739805 is an apocalyptic number.

319739805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

319739805 is an abundant number, since it is smaller than the sum of its proper divisors (394922979).

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

319739805 is a wasteful number, since it uses less digits than its factorization.

319739805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10288 (or 10279 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 319739805 is about 17881.2696696851. The cubic root of 319739805 is about 683.8049420717.

The spelling of 319739805 in words is "three hundred nineteen million, seven hundred thirty-nine thousand, eight hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 495 567 693 891 945 1155 1485 2079 2835 3465 4455 6237 10253 10395 30759 31185 51265 71771 92277 112783 153795 215313 276831 338349 358855 461385 563915 645939 789481 830493 1015047 1076565 1384155 1691745 1937817 2368443 3045141 3229695 3947405 4152465 5075235 5813451 7105329 9135423 9689085 11842215 15225705 21315987 29067255 35526645 45677115 63947961 106579935 319739805