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1242020340 = 22325111736899
BaseRepresentation
bin100101000000111…
…1011100111110100
310012120002011121100
41022001323213310
510020424122330
6323124450100
742530666361
oct11201734764
93176064540
101242020340
115880a72a0
122a7b49930
1316a4177a2
14bad4b468
157408b060
hex4a07b9f4

1242020340 has 144 divisors (see below), whose sum is σ = 4351838400. Its totient is φ = 283376640.

The previous prime is 1242020333. The next prime is 1242020407. The reversal of 1242020340 is 430202421.

1242020340 is a `hidden beast` number, since 1 + 2 + 420 + 203 + 40 = 666.

1242020340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12420203402 = 3085229049947431200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15211 + ... + 52109.

It is an arithmetic number, because the mean of its divisors is an integer number (30221100).

Almost surely, 21242020340 is an apocalyptic number.

1242020340 is a gapful number since it is divisible by the number (10) 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 1242020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175919200).

1242020340 is an abundant number, since it is smaller than the sum of its proper divisors (3109818060).

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

1242020340 is a wasteful number, since it uses less digits than its factorization.

1242020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36942 (or 36937 counting only the distinct ones).

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

The square root of 1242020340 is about 35242.3089481946. The cubic root of 1242020340 is about 1074.9202291627.

Adding to 1242020340 its reverse (430202421), we get a palindrome (1672222761).

The spelling of 1242020340 in words is "one billion, two hundred forty-two million, twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 36899 73798 110697 147596 184495 221394 332091 368990 405889 442788 553485 627283 664182 737980 811778 1106970 1217667 1254566 1328364 1623556 1660455 1881849 2029445 2213940 2435334 2509132 3136415 3320910 3653001 3763698 4058890 4870668 5645547 6088335 6272830 6641820 6900113 7306002 7527396 8117780 9409245 11291094 12176670 12545660 13800226 14612004 18265005 18818490 20700339 22582188 24353340 27600452 28227735 34500565 36530010 37636980 41400678 56455470 62101017 69001130 73060020 82801356 103501695 112910940 124202034 138002260 207003390 248404068 310505085 414006780 621010170 1242020340