Search a number
-
+
2023042340 = 22511371571583
BaseRepresentation
bin111100010010101…
…0010110100100100
312012222201012101002
41320211102310210
513120344323330
6532424452432
7101063401424
oct17045226444
95188635332
102023042340
11948a55720
1248561a118
13263184497
14152976484
15bc914e45
hex78952d24

2023042340 has 96 divisors (see below), whose sum is σ = 4793209344. Its totient is φ = 710760960.

The previous prime is 2023042331. The next prime is 2023042393. The reversal of 2023042340 is 432403202.

2023042340 = 2432 + 2442 + ... + 18252.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277189 + ... + 1278771.

It is an arithmetic number, because the mean of its divisors is an integer number (49929264).

Almost surely, 22023042340 is an apocalyptic number.

2023042340 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 2023042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396604672).

2023042340 is an abundant number, since it is smaller than the sum of its proper divisors (2770167004).

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

2023042340 is a wasteful number, since it uses less digits than its factorization.

2023042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2023042340 is about 44978.2429625702. The cubic root of 2023042340 is about 1264.7411740614.

Adding to 2023042340 its reverse (432403202), we get a palindrome (2455445542).

The spelling of 2023042340 in words is "two billion, twenty-three million, forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 157 185 220 314 370 407 628 740 785 814 1570 1583 1628 1727 2035 3140 3166 3454 4070 5809 6332 6908 7915 8140 8635 11618 15830 17270 17413 23236 29045 31660 34540 34826 58090 58571 63899 69652 87065 116180 117142 127798 174130 234284 248531 255596 292855 319495 348260 497062 585710 638990 644281 994124 1171420 1242655 1277980 1288562 2485310 2577124 2733841 3221405 4970620 5467682 6442810 9195647 10935364 12885620 13669205 18391294 27338410 36782588 45978235 54676820 91956470 101152117 183912940 202304234 404608468 505760585 1011521170 2023042340