Search a number
-
+
2323565440 = 27571730509
BaseRepresentation
bin1000101001111110…
…1100101110000000
312222221012100120021
42022133230232000
514224313043230
61022322023224
7111402660160
oct21237545600
95887170507
102323565440
11a92657119
1254a1a7b14
132b05063c1
141808445a0
15d8ec8c7a
hex8a7ecb80

2323565440 has 128 divisors (see below), whose sum is σ = 6721963200. Its totient is φ = 749764608.

The previous prime is 2323565437. The next prime is 2323565441. The reversal of 2323565440 is 445653232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2323565396 and 2323565405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323565441) 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, 60906 + ... + 91414.

Almost surely, 22323565440 is an apocalyptic number.

2323565440 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 2323565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360981600).

2323565440 is an abundant number, since it is smaller than the sum of its proper divisors (4398397760).

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

2323565440 is a wasteful number, since it uses less digits than its factorization.

2323565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30552 (or 30540 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The square root of 2323565440 is about 48203.3758153928. The cubic root of 2323565440 is about 1324.4990041368.

The spelling of 2323565440 in words is "two billion, three hundred twenty-three million, five hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1904 2176 2240 2380 2720 3808 4480 4760 5440 7616 9520 10880 15232 19040 30509 38080 61018 76160 122036 152545 213563 244072 305090 427126 488144 518653 610180 854252 976288 1037306 1067815 1220360 1708504 1952576 2074612 2135630 2440720 2593265 3417008 3630571 3905152 4149224 4271260 4881440 5186530 6834016 7261142 8298448 8542520 9762880 10373060 13668032 14522284 16596896 17085040 18152855 19525760 20746120 27336064 29044568 33193792 34170080 36305710 41492240 58089136 66387584 68340160 72611420 82984480 116178272 136680320 145222840 165968960 232356544 290445680 331937920 464713088 580891360 1161782720 2323565440