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434040102342 = 234711172046799
BaseRepresentation
bin1100101000011101100…
…11100101110111000110
31112111100000000201220000
412110032303211313012
524102403231233332
6531221213422130
743233626665620
oct6241663456706
91474300021800
10434040102342
11158091360090
127015319a946
1331c11a26132
1417016dddc10
15b455069b7c
hex650ece5dc6

434040102342 has 160 divisors (see below), whose sum is σ = 1283883955200. Its totient is φ = 106106008320.

The previous prime is 434040102337. The next prime is 434040102373. The reversal of 434040102342 is 243201040434.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 811342 + ... + 1235457.

It is an arithmetic number, because the mean of its divisors is an integer number (8024274720).

Almost surely, 2434040102342 is an apocalyptic number.

434040102342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

434040102342 is an abundant number, since it is smaller than the sum of its proper divisors (849843852858).

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

434040102342 is a wasteful number, since it uses less digits than its factorization.

434040102342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046848 (or 2046839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434040102342 its reverse (243201040434), we get a palindrome (677241142776).

The spelling of 434040102342 in words is "four hundred thirty-four billion, forty million, one hundred two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 81 99 102 119 126 153 154 162 187 189 198 231 238 297 306 357 374 378 459 462 561 567 594 693 714 891 918 1071 1122 1134 1309 1377 1386 1683 1782 2079 2142 2618 2754 3213 3366 3927 4158 5049 6237 6426 7854 9639 10098 11781 12474 15147 19278 23562 30294 35343 70686 106029 212058 2046799 4093598 6140397 12280794 14327593 18421191 22514789 28655186 34795583 36842382 42982779 45029578 55263573 67544367 69591166 85965558 104386749 110527146 128948337 135088734 157603523 165790719 202633101 208773498 243569081 257896674 313160247 315207046 331581438 382751413 386845011 405266202 472810569 487138162 607899303 626320494 730707243 765502826 773690022 939480741 945621138 1148254239 1160535033 1215798606 1418431707 1461414486 1823697909 1878961482 2192121729 2296508478 2321070066 2679259891 2818442223 2836863414 3444762717 3647395818 4255295121 4384243458 5358519782 5636884446 6576365187 6889525434 8037779673 8510590242 10334288151 12765885363 13152730374 16075559346 19729095561 20668576302 24113339019 25531770726 31002864453 39458191122 48226678038 62005728906 72340017057 144680034114 217020051171 434040102342