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2323104240 = 243543229983
BaseRepresentation
bin1000101001110111…
…1100000111110000
312222220022220220210
42022131330013300
514224203313430
61022304104120
7111366026442
oct21235740760
95886286823
102323104240
11a92371666
1254a005040
132b03a44c2
14180764492
15d8e372b0
hex8a77c1f0

2323104240 has 160 divisors (see below), whose sum is σ = 7408811520. Its totient is φ = 601832448.

The previous prime is 2323104233. The next prime is 2323104241. The reversal of 2323104240 is 424013232.

2323104240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323104241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2362789 + ... + 2363771.

It is an arithmetic number, because the mean of its divisors is an integer number (46305072).

Almost surely, 22323104240 is an apocalyptic number.

2323104240 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 2323104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704405760).

2323104240 is an abundant number, since it is smaller than the sum of its proper divisors (5085707280).

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

2323104240 is a wasteful number, since it uses less digits than its factorization.

2323104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2323104240 is about 48198.5916806705. The cubic root of 2323104240 is about 1324.4113659249.

Adding to 2323104240 its reverse (424013232), we get a palindrome (2747117472).

The spelling of 2323104240 in words is "two billion, three hundred twenty-three million, one hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 229 240 258 344 430 458 516 645 687 688 860 916 983 1032 1145 1290 1374 1720 1832 1966 2064 2290 2580 2748 2949 3435 3440 3664 3932 4580 4915 5160 5496 5898 6870 7864 9160 9830 9847 10320 10992 11796 13740 14745 15728 18320 19660 19694 23592 27480 29490 29541 39320 39388 42269 47184 49235 54960 58980 59082 78640 78776 84538 98470 117960 118164 126807 147705 157552 169076 196940 211345 225107 235920 236328 253614 295410 338152 393880 422690 450214 472656 507228 590820 634035 675321 676304 787760 845380 900428 1014456 1125535 1181640 1268070 1350642 1690760 1800856 2028912 2251070 2363280 2536140 2701284 3376605 3381520 3601712 4502140 5072280 5402568 6753210 9004280 9679601 10144560 10805136 13506420 18008560 19359202 27012840 29038803 38718404 48398005 54025680 58077606 77436808 96796010 116155212 145194015 154873616 193592020 232310424 290388030 387184040 464620848 580776060 774368080 1161552120 2323104240