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315048420 = 223351734319
BaseRepresentation
bin10010110001110…
…100000111100100
3210221211010012000
4102301310013210
51121123022140
651132325300
710543603341
oct2261640744
9727733160
10315048420
111519225a5
1289613830
13503694ab
142dbad7c8
151c9d2a30
hex12c741e4

315048420 has 96 divisors (see below), whose sum is σ = 1037836800. Its totient is φ = 79068672.

The previous prime is 315048361. The next prime is 315048421. The reversal of 315048420 is 24840513.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (315048421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7980 + ... + 26339.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2315048420 is an apocalyptic number.

315048420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315048420 is an abundant number, since it is smaller than the sum of its proper divisors (722788380).

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

315048420 is a wasteful number, since it uses less digits than its factorization.

315048420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34354 (or 34346 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 315048420 is about 17749.6033758504. The cubic root of 315048420 is about 680.4440726812. Note that the first 3 decimals are identical.

Adding to 315048420 its reverse (24840513), we get a palindrome (339888933).

The spelling of 315048420 in words is "three hundred fifteen million, forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 34319 68638 102957 137276 171595 205914 308871 343190 411828 514785 583423 617742 686380 926613 1029570 1166846 1235484 1544355 1750269 1853226 2059140 2333692 2917115 3088710 3500538 3706452 4633065 5250807 5834230 6177420 7001076 8751345 9266130 10501614 11668460 15752421 17502690 18532260 21003228 26254035 31504842 35005380 52508070 63009684 78762105 105016140 157524210 315048420