Search a number
-
+
313072470 = 232516321341
BaseRepresentation
bin10010101010010…
…001101101010110
3210211002201200200
4102222101231112
51120121304340
651022121330
710521033504
oct2252215526
9724081620
10313072470
111507a2a87
1288a20246
134cb26ca9
142d817674
151c742330
hex12a91b56

313072470 has 48 divisors (see below), whose sum is σ = 819020592. Its totient is φ = 82969920.

The previous prime is 313072469. The next prime is 313072511. The reversal of 313072470 is 74270313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000 + ... + 25340.

It is an arithmetic number, because the mean of its divisors is an integer number (17062929).

Almost surely, 2313072470 is an apocalyptic number.

313072470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313072470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409510296).

313072470 is an abundant number, since it is smaller than the sum of its proper divisors (505948122).

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

313072470 is a wasteful number, since it uses less digits than its factorization.

313072470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21517 (or 21514 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 313072470 is about 17693.8540177091. The cubic root of 313072470 is about 679.0185307456.

The spelling of 313072470 in words is "three hundred thirteen million, seventy-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 815 978 1467 1630 2445 2934 4890 7335 14670 21341 42682 64023 106705 128046 192069 213410 320115 384138 640230 960345 1920690 3478583 6957166 10435749 17392915 20871498 31307247 34785830 52178745 62614494 104357490 156536235 313072470