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1040130234 = 234111359761
BaseRepresentation
bin111101111111110…
…010000010111010
32200111012002110000
4331333302002322
54112233131414
6251113333430
734526650443
oct7577620272
92614162400
101040130234
11494143270
12250407276
1313764b0a0
149c1d62ca
15614abb09
hex3dff20ba

1040130234 has 160 divisors (see below), whose sum is σ = 2788188480. Its totient is φ = 285638400.

The previous prime is 1040130233. The next prime is 1040130251. The reversal of 1040130234 is 4320310401.

1040130234 is a `hidden beast` number, since 1 + 0 + 401 + 30 + 234 = 666.

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 (1040130233) 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 79 ways as a sum of consecutive naturals, for example, 1366414 + ... + 1367174.

It is an arithmetic number, because the mean of its divisors is an integer number (17426178).

Almost surely, 21040130234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040130234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394094240).

1040130234 is an abundant number, since it is smaller than the sum of its proper divisors (1748058246).

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

1040130234 is a wasteful number, since it uses less digits than its factorization.

1040130234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1040130234 is about 32251.0501224379. The cubic root of 1040130234 is about 1013.2016930171.

Adding to 1040130234 its reverse (4320310401), we get a palindrome (5360440635).

The spelling of 1040130234 in words is "one billion, forty million, one hundred thirty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 59 66 78 81 99 117 118 143 162 177 198 234 286 297 351 354 429 531 594 649 702 761 767 858 891 1053 1062 1287 1298 1522 1534 1593 1782 1947 2106 2283 2301 2574 3186 3861 3894 4566 4602 4779 5841 6849 6903 7722 8371 8437 9558 9893 11583 11682 13698 13806 16742 16874 17523 19786 20547 20709 23166 25113 25311 29679 35046 41094 41418 44899 50226 50622 52569 59358 61641 62127 75339 75933 89037 89798 105138 108823 123282 124254 134697 150678 151866 178074 217646 226017 227799 267111 269394 326469 404091 452034 455598 493889 534222 583687 652938 678051 683397 801333 808182 979407 987778 1167374 1212273 1356102 1366794 1481667 1602666 1751061 1958814 2424546 2938221 2963334 3502122 3636819 4445001 5253183 5876442 6420557 7273638 8814663 8890002 10506366 12841114 13335003 15759549 17629326 19261671 26670006 31519098 38523342 40005009 47278647 57785013 80010018 94557294 115570026 173355039 346710078 520065117 1040130234