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2340010020 = 223561798093
BaseRepresentation
bin1000101101111001…
…1011100000100100
320001002010211021210
42023132123200210
514243020310040
61024110311420
7111662520435
oct21336334044
96032124253
102340010020
11aa0969187
125537b8570
132b3a4341a
14182ac548c
15da676480
hex8b79b824

2340010020 has 96 divisors (see below), whose sum is σ = 6744568320. Its totient is φ = 605928960.

The previous prime is 2340010007. The next prime is 2340010021. The reversal of 2340010020 is 200100432.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2340009978 and 2340010005.

It is not an unprimeable number, because it can be changed into a prime (2340010021) 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, 285094 + ... + 293186.

It is an arithmetic number, because the mean of its divisors is an integer number (70255920).

Almost surely, 22340010020 is an apocalyptic number.

2340010020 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 2340010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372284160).

2340010020 is an abundant number, since it is smaller than the sum of its proper divisors (4404558300).

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

2340010020 is a wasteful number, since it uses less digits than its factorization.

2340010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2340010020 is about 48373.6500586838. The cubic root of 2340010020 is about 1327.6162892300.

Adding to 2340010020 its reverse (200100432), we get a palindrome (2540110452).

The spelling of 2340010020 in words is "two billion, three hundred forty million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 79 122 158 183 237 244 305 316 366 395 474 610 732 790 915 948 1185 1220 1580 1830 2370 3660 4740 4819 8093 9638 14457 16186 19276 24095 24279 28914 32372 40465 48190 48558 57828 72285 80930 96380 97116 121395 144570 161860 242790 289140 485580 493673 639347 987346 1278694 1481019 1918041 1974692 2468365 2557388 2962038 3196735 3836082 4936730 5924076 6393470 7405095 7672164 9590205 9873460 12786940 14810190 19180410 29620380 38360820 39000167 78000334 117000501 156000668 195000835 234001002 390001670 468002004 585002505 780003340 1170005010 2340010020