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2342019042 = 2331117593931
BaseRepresentation
bin1000101110011000…
…0101111111100010
320001012220220011000
42023212011333202
514244024102132
61024221332430
7112015555566
oct21346057742
96035826130
102342019042
11aa2010630
12554407116
132b42979ac
141830896a6
15da92187c
hex8b985fe2

2342019042 has 128 divisors (see below), whose sum is σ = 6115046400. Its totient is φ = 656467200.

The previous prime is 2342019023. The next prime is 2342019049. The reversal of 2342019042 is 2409102432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2342018997 and 2342019015.

It is not an unprimeable number, because it can be changed into a prime (2342019049) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 593817 + ... + 597747.

It is an arithmetic number, because the mean of its divisors is an integer number (47773800).

Almost surely, 22342019042 is an apocalyptic number.

2342019042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342019042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057523200).

2342019042 is an abundant number, since it is smaller than the sum of its proper divisors (3773027358).

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

2342019042 is a wasteful number, since it uses less digits than its factorization.

2342019042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2342019042 is about 48394.4112682446. The cubic root of 2342019042 is about 1327.9961234131.

The spelling of 2342019042 in words is "two billion, three hundred forty-two million, nineteen thousand, forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 59 66 99 102 118 153 177 187 198 297 306 354 374 459 531 561 594 649 918 1003 1062 1122 1298 1593 1683 1947 2006 3009 3186 3366 3894 3931 5049 5841 6018 7862 9027 10098 11033 11682 11793 17523 18054 22066 23586 27081 33099 35046 35379 43241 54162 66198 66827 70758 86482 99297 106137 129723 133654 198594 200481 212274 231929 259446 297891 389169 400962 463858 595782 601443 695787 735097 778338 1167507 1202886 1391574 1470194 1804329 2087361 2205291 2335014 2551219 3608658 3942793 4174722 4410582 5102438 6262083 6615873 7653657 7885586 11828379 12524166 13231746 15307314 19847619 22960971 23656758 35485137 39695238 43370723 45921942 68882913 70970274 86741446 106455411 130112169 137765826 212910822 260224338 390336507 780673014 1171009521 2342019042