Search a number
-
+
314473020 = 2235231811259
BaseRepresentation
bin10010101111100…
…111101000111100
3210220201212212220
4102233213220330
51121001114040
651112125340
710535655651
oct2257475074
9726655786
10314473020
1115156a264
1289396850
13501c7614
142da9dc28
151c91c2d0
hex12be7a3c

314473020 has 96 divisors (see below), whose sum is σ = 924618240. Its totient is φ = 79706880.

The previous prime is 314472979. The next prime is 314473031. The reversal of 314473020 is 20374413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249151 + ... + 250409.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2314473020 is an apocalyptic number.

314473020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314473020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

314473020 is an abundant number, since it is smaller than the sum of its proper divisors (610145220).

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

314473020 is a wasteful number, since it uses less digits than its factorization.

314473020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 314473020 is about 17733.3871553068. The cubic root of 314473020 is about 680.0295690718.

The spelling of 314473020 in words is "three hundred fourteen million, four hundred seventy-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 181 230 276 345 362 460 543 690 724 905 1086 1259 1380 1810 2172 2518 2715 3620 3777 4163 5036 5430 6295 7554 8326 10860 12489 12590 15108 16652 18885 20815 24978 25180 28957 37770 41630 49956 57914 62445 75540 83260 86871 115828 124890 144785 173742 227879 249780 289570 347484 434355 455758 579140 683637 868710 911516 1139395 1367274 1737420 2278790 2734548 3418185 4557580 5241217 6836370 10482434 13672740 15723651 20964868 26206085 31447302 52412170 62894604 78618255 104824340 157236510 314473020