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23300034320 = 2454112975477
BaseRepresentation
bin10101101100110010…
…100100111100010000
32020010211010101022002
4111230302210330100
5340204302044240
614412012333132
71453253011133
oct255462447420
966124111262
1023300034320
119977297712
1246231741a8
13227429c774
1411b06b021a
15915828d15
hex56cca4f10

23300034320 has 80 divisors (see below), whose sum is σ = 55546788528. Its totient is φ = 9084026880.

The previous prime is 23300034259. The next prime is 23300034323. The reversal of 23300034320 is 2343000332.

It can be written as a sum of positive squares in 8 ways, for example, as 3386308864 + 19913725456 = 58192^2 + 141116^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23300034292 and 23300034301.

It is not an unprimeable number, because it can be changed into a prime (23300034323) 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, 4251422 + ... + 4256898.

Almost surely, 223300034320 is an apocalyptic number.

23300034320 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 23300034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27773394264).

23300034320 is an abundant number, since it is smaller than the sum of its proper divisors (32246754208).

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

23300034320 is a wasteful number, since it uses less digits than its factorization.

23300034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 23300034320 its reverse (2343000332), we get a palindrome (25643034652).

The spelling of 23300034320 in words is "twenty-three billion, three hundred million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1297 1640 2594 3280 5188 5477 6485 10376 10954 12970 20752 21908 25940 27385 43816 51880 53177 54770 87632 103760 106354 109540 212708 219080 224557 265885 425416 438160 449114 531770 850832 898228 1063540 1122785 1796456 2127080 2245570 3592912 4254160 4491140 7103669 8982280 14207338 17964560 28414676 35518345 56829352 71036690 113658704 142073380 284146760 291250429 568293520 582500858 1165001716 1456252145 2330003432 2912504290 4660006864 5825008580 11650017160 23300034320