Search a number
-
+
314127720 = 2334596953
BaseRepresentation
bin10010101110010…
…011010101101000
3210220002100020000
4102232103111220
51120404041340
651100503000
710533020154
oct2256232550
9726070200
10314127720
11151353895
128924aa60
13501063ba
142da10064
151c89ed30
hex12b93568

314127720 has 80 divisors (see below), whose sum is σ = 1055829060. Its totient is φ = 83766528.

The previous prime is 314127719. The next prime is 314127731. The reversal of 314127720 is 27721413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 306740196 + 7387524 = 17514^2 + 2718^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45237 + ... + 51716.

Almost surely, 2314127720 is an apocalyptic number.

314127720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314127720 is an abundant number, since it is smaller than the sum of its proper divisors (741701340).

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

314127720 is a wasteful number, since it uses less digits than its factorization.

314127720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96976 (or 96963 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 314127720 is about 17723.6486085682. The cubic root of 314127720 is about 679.7805808789.

The spelling of 314127720 in words is "three hundred fourteen million, one hundred twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 96953 193906 290859 387812 484765 581718 775624 872577 969530 1163436 1454295 1745154 1939060 2326872 2617731 2908590 3490308 3878120 4362885 5235462 5817180 6980616 7853193 8725770 10470924 11634360 13088655 15706386 17451540 20941848 26177310 31412772 34903080 39265965 52354620 62825544 78531930 104709240 157063860 314127720