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1242810368 = 211192412
BaseRepresentation
bin100101000010011…
…1100100000000000
310012121120022022122
41022010330200000
510021124412433
6323153423412
742540466562
oct11204744000
93177508278
101242810368
11588596908
122a826ab68
1316a633267
14bb0b5332
1574195198
hex4a13c800

1242810368 has 108 divisors (see below), whose sum is σ = 2688215985. Its totient is φ = 574341120.

The previous prime is 1242810343. The next prime is 1242810389. The reversal of 1242810368 is 8630182421.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 887563264 + 355247104 = 29792^2 + 18848^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=24928.

It is a super-2 number, since 2×12428103682 = 3089155221616590848, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30312428 + ... + 30312468.

Almost surely, 21242810368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242810368

1242810368 is an abundant number, since it is smaller than the sum of its proper divisors (1445405617).

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

1242810368 is an frugal number, since it uses more digits than its factorization.

1242810368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 1242810368 is about 35253.5156828365. The cubic root of 1242810368 is about 1075.1480936771.

Multiplying 1242810368 by its product of nonzero digits (18432), we get a square (22907480702976 = 47861762).

Adding to 1242810368 its reverse (8630182421), we get a palindrome (9872992789).

The spelling of 1242810368 in words is "one billion, two hundred forty-two million, eight hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 361 512 608 656 722 779 1024 1216 1312 1444 1558 1681 2048 2432 2624 2888 3116 3362 4864 5248 5776 6232 6724 9728 10496 11552 12464 13448 14801 19456 20992 23104 24928 26896 29602 31939 38912 41984 46208 49856 53792 59204 63878 83968 92416 99712 107584 118408 127756 184832 199424 215168 236816 255512 369664 398848 430336 473632 511024 606841 739328 797696 860672 947264 1022048 1213682 1595392 1721344 1894528 2044096 2427364 3442688 3789056 4088192 4854728 7578112 8176384 9709456 15156224 16352768 19418912 30312448 32705536 38837824 65411072 77675648 155351296 310702592 621405184 1242810368