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2303261064 = 2332133179379
BaseRepresentation
bin1000100101001000…
…1111100110001000
312221111222210012100
42021102033212020
514204113323224
61020314513400
7111035252556
oct21122174610
95844883170
102303261064
11a82149145
12543435860
132a9247590
1417bc7abd6
15d7317ac9
hex8948f988

2303261064 has 96 divisors (see below), whose sum is σ = 6934636800. Its totient is φ = 685825920.

The previous prime is 2303261041. The next prime is 2303261083. The reversal of 2303261064 is 4601623032.

2303261064 is a `hidden beast` number, since 230 + 326 + 106 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 10674 + ... + 68705.

It is an arithmetic number, because the mean of its divisors is an integer number (72235800).

Almost surely, 22303261064 is an apocalyptic number.

2303261064 is a gapful number since it is divisible by the number (24) 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 2303261064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467318400).

2303261064 is an abundant number, since it is smaller than the sum of its proper divisors (4631375736).

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

2303261064 is a wasteful number, since it uses less digits than its factorization.

2303261064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79435 (or 79428 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2303261064 is about 47992.3021327379. The cubic root of 2303261064 is about 1320.6296857962.

Adding to 2303261064 its reverse (4601623032), we get a palindrome (6904884096).

The spelling of 2303261064 in words is "two billion, three hundred three million, two hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 29016 79379 158758 238137 317516 476274 635032 714411 952548 1031927 1428822 1905096 2063854 2460749 2857644 3095781 4127708 4921498 5715288 6191562 7382247 8255416 9287343 9842996 12383124 14764494 18574686 19685992 22146741 24766248 29528988 31989737 37149372 44293482 59057976 63979474 74298744 88586964 95969211 127958948 177173928 191938422 255917896 287907633 383876844 575815266 767753688 1151630532 2303261064