Search a number
-
+
314128640 = 285735059
BaseRepresentation
bin10010101110010…
…011100100000000
3210220002101111002
4102232103210000
51120404104030
651100511132
710533022640
oct2256234400
9726071432
10314128640
11151354551
128924b4a8
1350106947
142da10520
151c8a0245
hex12b93900

314128640 has 72 divisors (see below), whose sum is σ = 859951680. Its totient is φ = 107698176.

The previous prime is 314128613. The next prime is 314128643. The reversal of 314128640 is 46821413.

It is not an unprimeable number, because it can be changed into a prime (314128643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8570 + ... + 26489.

Almost surely, 2314128640 is an apocalyptic number.

It is an amenable number.

314128640 is an abundant number, since it is smaller than the sum of its proper divisors (545823040).

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

314128640 is an equidigital number, since it uses as much as digits as its factorization.

314128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35087 (or 35073 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 314128640 is about 17723.6745625731. The cubic root of 314128640 is about 679.7812445130.

The spelling of 314128640 in words is "three hundred fourteen million, one hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 35059 70118 140236 175295 245413 280472 350590 490826 560944 701180 981652 1121888 1227065 1402360 1963304 2243776 2454130 2804720 3926608 4487552 4908260 5609440 7853216 8975104 9816520 11218880 15706432 19633040 22437760 31412864 39266080 44875520 62825728 78532160 157064320 314128640