Search a number
-
+
314460440 = 23572831933
BaseRepresentation
bin10010101111100…
…100100100011000
3210220201020121222
4102233210210120
51121000213230
651111551212
710535604200
oct2257444430
9726636558
10314460440
11151560868
128938b508
13501c1988
142da99400
151c9186e5
hex12be4918

314460440 has 96 divisors (see below), whose sum is σ = 833399280. Its totient is φ = 106460928.

The previous prime is 314460389. The next prime is 314460467. The reversal of 314460440 is 44064413.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 161714 + ... + 163646.

Almost surely, 2314460440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314460440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416699640).

314460440 is an abundant number, since it is smaller than the sum of its proper divisors (518938840).

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

314460440 is a wasteful number, since it uses less digits than its factorization.

314460440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 314460440 is about 17733.0324535879. The cubic root of 314460440 is about 680.0205011120.

The spelling of 314460440 in words is "three hundred fourteen million, four hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 83 98 140 166 196 245 280 332 392 415 490 581 664 830 980 1162 1660 1933 1960 2324 2905 3320 3866 4067 4648 5810 7732 8134 9665 11620 13531 15464 16268 19330 20335 23240 27062 32536 38660 40670 54124 67655 77320 81340 94717 108248 135310 160439 162680 189434 270620 320878 378868 473585 541240 641756 757736 802195 947170 1123073 1283512 1604390 1894340 2246146 3208780 3788680 4492292 5615365 6417560 7861511 8984584 11230730 15723022 22461460 31446044 39307555 44922920 62892088 78615110 157230220 314460440