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2301003240 = 233525774611
BaseRepresentation
bin1000100100100110…
…1000010111101000
312221100202002001020
42021021220113220
514203024100430
61020154252440
7111010130154
oct21111502750
95840662036
102301003240
11a80946878
12542727120
132a89369a3
1417b850064
15d701db10
hex892685e8

2301003240 has 64 divisors (see below), whose sum is σ = 6929962560. Its totient is φ = 611205120.

The previous prime is 2301003239. The next prime is 2301003269. The reversal of 2301003240 is 423001032.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 6466 + ... + 68145.

It is an arithmetic number, because the mean of its divisors is an integer number (108280665).

Almost surely, 22301003240 is an apocalyptic number.

2301003240 is a gapful number since it is divisible by the number (20) 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 2301003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464981280).

2301003240 is an abundant number, since it is smaller than the sum of its proper divisors (4628959320).

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

2301003240 is a wasteful number, since it uses less digits than its factorization.

2301003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74882 (or 74878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2301003240 is about 47968.7735928281. The cubic root of 2301003240 is about 1320.1980189613.

Adding to 2301003240 its reverse (423001032), we get a palindrome (2724004272).

The spelling of 2301003240 in words is "two billion, three hundred one million, three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 7710 10280 15420 30840 74611 149222 223833 298444 373055 447666 596888 746110 895332 1119165 1492220 1790664 2238330 2984440 4476660 8953320 19175027 38350054 57525081 76700108 95875135 115050162 153400216 191750270 230100324 287625405 383500540 460200648 575250810 767001080 1150501620 2301003240