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315820380 = 223543167733
BaseRepresentation
bin10010110100110…
…000100101011100
3211000021100010010
4102310300211130
51121322223010
651201043220
710553300061
oct2264604534
9730240103
10315820380
111522aa587
1289926510
1350579985
142dd30c68
151cad6620
hex12d3095c

315820380 has 96 divisors (see below), whose sum is σ = 911522304. Its totient is φ = 81656064.

The previous prime is 315820367. The next prime is 315820391. The reversal of 315820380 is 83028513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 430494 + ... + 431226.

It is an arithmetic number, because the mean of its divisors is an integer number (9495024).

Almost surely, 2315820380 is an apocalyptic number.

315820380 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 315820380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455761152).

315820380 is an abundant number, since it is smaller than the sum of its proper divisors (595701924).

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

315820380 is a wasteful number, since it uses less digits than its factorization.

315820380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 315820380 is about 17771.3359092669. The cubic root of 315820380 is about 680.9993811462. Note that the first 3 decimals are identical.

Adding to 315820380 its reverse (83028513), we get a palindrome (398848893).

The spelling of 315820380 in words is "three hundred fifteen million, eight hundred twenty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 167 172 215 258 334 430 501 516 645 668 733 835 860 1002 1290 1466 1670 2004 2199 2505 2580 2932 3340 3665 4398 5010 7181 7330 8796 10020 10995 14362 14660 21543 21990 28724 31519 35905 43086 43980 63038 71810 86172 94557 107715 122411 126076 143620 157595 189114 215430 244822 315190 367233 378228 430860 472785 489644 612055 630380 734466 945570 1224110 1468932 1836165 1891140 2448220 3672330 5263673 7344660 10527346 15791019 21054692 26318365 31582038 52636730 63164076 78955095 105273460 157910190 315820380