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763240023 = 337213199223
BaseRepresentation
bin101101011111100…
…001111001010111
31222012011121111000
4231133201321113
53030342140043
6203422514343
724625301400
oct5537417127
91865147430
10763240023
11361913587
121937359b3
13c2182020
147351a9a7
15470152d3
hex2d7e1e57

763240023 has 96 divisors (see below), whose sum is σ = 1430016000. Its totient is φ = 398768832.

The previous prime is 763240019. The next prime is 763240031. The reversal of 763240023 is 320042367.

763240023 is a `hidden beast` number, since 7 + 632 + 4 + 0 + 0 + 23 = 666.

It is not a de Polignac number, because 763240023 - 22 = 763240019 is a prime.

It is a super-3 number, since 3×7632400233 (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763240123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3422490 + ... + 3422712.

It is an arithmetic number, because the mean of its divisors is an integer number (14896000).

Almost surely, 2763240023 is an apocalyptic number.

763240023 is a deficient number, since it is larger than the sum of its proper divisors (666775977).

763240023 is a wasteful number, since it uses less digits than its factorization.

763240023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 763240023 is about 27626.7990002461. The cubic root of 763240023 is about 913.8755227125.

The spelling of 763240023 in words is "seven hundred sixty-three million, two hundred forty thousand, twenty-three".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 199 223 273 351 441 597 637 669 819 1323 1393 1561 1791 1911 2007 2457 2587 2899 4179 4683 5373 5733 6021 7761 8697 9751 10927 12537 14049 17199 18109 20293 23283 26091 29253 32781 37611 42147 44377 54327 60879 69849 78273 87759 98343 126763 133131 142051 162981 182637 263277 295029 310639 380289 399393 426153 488943 547911 576901 931917 1140867 1198179 1278459 1730703 2174473 2795751 3422601 3835377 4038307 5192109 6523419 8387253 12114921 15576327 19570257 28268149 36344763 58710771 84804447 109034289 254413341 763240023