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2303324640 = 25335533177
BaseRepresentation
bin1000100101001001…
…1111000111100000
312221112010000102000
42021102133013200
514204122342030
61020320124000
7111035636121
oct21122370740
95845100360
102303324640
11a82191991
12543466600
132a926a4b6
1417bc96048
15d732b860
hex8949f1e0

2303324640 has 96 divisors (see below), whose sum is σ = 8061651360. Its totient is φ = 614218752.

The previous prime is 2303324633. The next prime is 2303324641. The reversal of 2303324640 is 464233032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23033246402 = 10610608794462259200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303324641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262269 + ... + 270908.

It is an arithmetic number, because the mean of its divisors is an integer number (83975535).

Almost surely, 22303324640 is an apocalyptic number.

2303324640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2303324640 is an abundant number, since it is smaller than the sum of its proper divisors (5758326720).

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

2303324640 is a wasteful number, since it uses less digits than its factorization.

2303324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533201 (or 533187 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 2303324640 is about 47992.9644843908. The cubic root of 2303324640 is about 1320.6418366232.

Adding to 2303324640 its reverse (464233032), we get a palindrome (2767557672).

The spelling of 2303324640 in words is "two billion, three hundred three million, three hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 533177 1066354 1599531 2132708 2665885 3199062 4265416 4798593 5331770 6398124 7997655 8530832 9597186 10663540 12796248 14395779 15995310 17061664 19194372 21327080 23992965 25592496 28791558 31990620 38388744 42654160 47985930 51184992 57583116 63981240 71978895 76777488 85308320 95971860 115166232 127962480 143957790 153554976 191943720 230332464 255924960 287915580 383887440 460664928 575831160 767774880 1151662320 2303324640