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2021042340 = 223451247557
BaseRepresentation
bin111100001110110…
…1010100010100100
312012211221120220000
41320131222202210
513114341323330
6532313541300
7101040401502
oct17035524244
95184846800
102021042340
1194790a029
12484a14830
13262934055
141525b5672
15bc66c560
hex7876a8a4

2021042340 has 60 divisors (see below), whose sum is σ = 6340089756. Its totient is φ = 538944192.

The previous prime is 2021042339. The next prime is 2021042341. The reversal of 2021042340 is 432401202.

2021042340 is a `hidden beast` number, since 202 + 1 + 0 + 423 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2021042339) and next prime (2021042341).

It can be written as a sum of positive squares in 2 ways, for example, as 1493513316 + 527529024 = 38646^2 + 22968^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×20210423402 = 8169224280145351200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2021042341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 622159 + ... + 625398.

Almost surely, 22021042340 is an apocalyptic number.

2021042340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021042340 is an abundant number, since it is smaller than the sum of its proper divisors (4319047416).

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

2021042340 is a wasteful number, since it uses less digits than its factorization.

2021042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247578 (or 1247567 counting only the distinct ones).

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

The square root of 2021042340 is about 44956.0044932821. The cubic root of 2021042340 is about 1264.3242580279.

Adding to 2021042340 its reverse (432401202), we get a palindrome (2453443542).

The spelling of 2021042340 in words is "two billion, twenty-one million, forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1247557 2495114 3742671 4990228 6237785 7485342 11228013 12475570 14970684 18713355 22456026 24951140 33684039 37426710 44912052 56140065 67368078 74853420 101052117 112280130 134736156 168420195 202104234 224560260 336840390 404208468 505260585 673680780 1010521170 2021042340