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2042310024 = 23352345677
BaseRepresentation
bin111100110111011…
…0010110110001000
312021022222002200000
41321232302312020
513140312410044
6534353443000
7101416230426
oct17156626610
95238862600
102042310024
11958915827
1248bb70460
1326716c491
14155350116
15be46dd69
hex79bb2d88

2042310024 has 96 divisors (see below), whose sum is σ = 5985645120. Its totient is φ = 651157056.

The previous prime is 2042309947. The next prime is 2042310037. The reversal of 2042310024 is 4200132402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2042309979 and 2042310006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21874 + ... + 67550.

It is an arithmetic number, because the mean of its divisors is an integer number (62350470).

Almost surely, 22042310024 is an apocalyptic number.

2042310024 is a gapful number since it is divisible by the number (24) 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 2042310024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992822560).

2042310024 is an abundant number, since it is smaller than the sum of its proper divisors (3943335096).

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

2042310024 is a wasteful number, since it uses less digits than its factorization.

2042310024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45721 (or 45705 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2042310024 is about 45191.9243228256. The cubic root of 2042310024 is about 1268.7436733925.

Adding to 2042310024 its reverse (4200132402), we get a palindrome (6242442426).

The spelling of 2042310024 in words is "two billion, forty-two million, three hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 972 1242 1656 1863 1944 2484 3726 4968 5589 7452 11178 14904 22356 44712 45677 91354 137031 182708 274062 365416 411093 548124 822186 1050571 1096248 1233279 1644372 2101142 2466558 3151713 3288744 3699837 4202284 4933116 6303426 7399674 8404568 9455139 9866232 11099511 12606852 14799348 18910278 22199022 25213704 28365417 29598696 37820556 44398044 56730834 75641112 85096251 88796088 113461668 170192502 226923336 255288753 340385004 510577506 680770008 1021155012 2042310024