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314305500 = 22353317661
BaseRepresentation
bin10010101110111…
…110101111011100
3210220102101002110
4102232332233130
51120430234000
651104354020
710534360365
oct2256765734
9726371073
10314305500
11151465413
1289315910
13501692b2
142da58b6c
151c8d7850
hex12bbebdc

314305500 has 96 divisors (see below), whose sum is σ = 919533888. Its totient is φ = 83424000.

The previous prime is 314305499. The next prime is 314305501. The reversal of 314305500 is 5503413.

It is an interprime number because it is at equal distance from previous prime (314305499) and next prime (314305501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314305501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475170 + ... + 475830.

It is an arithmetic number, because the mean of its divisors is an integer number (9578478).

Almost surely, 2314305500 is an apocalyptic number.

314305500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314305500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459766944).

314305500 is an abundant number, since it is smaller than the sum of its proper divisors (605228388).

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

314305500 is a wasteful number, since it uses less digits than its factorization.

314305500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 314305500 is about 17728.6632321786. The cubic root of 314305500 is about 679.9087968801.

Adding to 314305500 its reverse (5503413), we get a palindrome (319808913).

The spelling of 314305500 in words is "three hundred fourteen million, three hundred five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 317 375 500 634 661 750 951 1268 1322 1500 1585 1902 1983 2644 3170 3305 3804 3966 4755 6340 6610 7925 7932 9510 9915 13220 15850 16525 19020 19830 23775 31700 33050 39625 39660 47550 49575 66100 79250 82625 95100 99150 118875 158500 165250 198300 209537 237750 247875 330500 419074 475500 495750 628611 838148 991500 1047685 1257222 2095370 2514444 3143055 4190740 5238425 6286110 10476850 12572220 15715275 20953700 26192125 31430550 52384250 62861100 78576375 104768500 157152750 314305500