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2303968688 = 247373071811
BaseRepresentation
bin1000100101010011…
…1100010110110000
312221120022201212122
42021110330112300
514204303444223
61020342013412
7111044260610
oct21124742660
95846281778
102303968688
11a8259185a
12543717268
132a94346a8
1417bdc2a40
15d74075c8
hex8953c5b0

2303968688 has 80 divisors (see below), whose sum is σ = 5259496704. Its totient is φ = 957070080.

The previous prime is 2303968687. The next prime is 2303968691. The reversal of 2303968688 is 8868693032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2303968687) 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, 1271303 + ... + 1273113.

Almost surely, 22303968688 is an apocalyptic number.

2303968688 is a gapful number since it is divisible by the number (28) 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 2303968688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629748352).

2303968688 is an abundant number, since it is smaller than the sum of its proper divisors (2955528016).

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

2303968688 is a wasteful number, since it uses less digits than its factorization.

2303968688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The square root of 2303968688 is about 47999.6738322252. The cubic root of 2303968688 is about 1320.7649163163.

The spelling of 2303968688 in words is "two billion, three hundred three million, nine hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 307 518 592 614 1036 1228 1811 2072 2149 2456 3622 4144 4298 4912 7244 8596 11359 12677 14488 17192 22718 25354 28976 34384 45436 50708 67007 79513 90872 101416 134014 159026 181744 202832 268028 318052 469049 536056 555977 636104 938098 1072112 1111954 1272208 1876196 2223908 3752392 3891839 4447816 7504784 7783678 8895632 15567356 20571149 31134712 41142298 62269424 82284596 143998043 164569192 287996086 329138384 575992172 1151984344 2303968688