Search a number
-
+
313605248 = 2711222731
BaseRepresentation
bin10010101100010…
…011110010000000
3210212002210112012
4102230103302000
51120240331443
651041352052
710525413005
oct2254236200
9725083465
10313605248
111510272a0
1289038628
134cc82648
142d9158ac
151c7ea118
hex12b13c80

313605248 has 32 divisors (see below), whose sum is σ = 681559920. Its totient is φ = 142547200.

The previous prime is 313605211. The next prime is 313605251. The reversal of 313605248 is 842506313.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 109958 + ... + 112773.

Almost surely, 2313605248 is an apocalyptic number.

It is an amenable number.

313605248 is an abundant number, since it is smaller than the sum of its proper divisors (367954672).

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

313605248 is a wasteful number, since it uses less digits than its factorization.

313605248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222756 (or 222744 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 313605248 is about 17708.9030716191. The cubic root of 313605248 is about 679.4034907243.

The spelling of 313605248 in words is "three hundred thirteen million, six hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 222731 445462 890924 1781848 2450041 3563696 4900082 7127392 9800164 14254784 19600328 28509568 39200656 78401312 156802624 313605248