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434214102 = 2371723137193
BaseRepresentation
bin11001111000011…
…001010011010110
31010021001100202210
4121320121103112
51342124322402
6111030414250
713521521220
oct3170312326
91107040683
10434214102
11203114533
12101501386
136bc6072a
144194d410
15281c106c
hex19e194d6

434214102 has 128 divisors (see below), whose sum is σ = 1110288384. Its totient is φ = 110297088.

The previous prime is 434214097. The next prime is 434214127. The reversal of 434214102 is 201412434.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2249718 + ... + 2249910.

It is an arithmetic number, because the mean of its divisors is an integer number (8674128).

Almost surely, 2434214102 is an apocalyptic number.

434214102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 434214102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555144192).

434214102 is an abundant number, since it is smaller than the sum of its proper divisors (676074282).

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

434214102 is a wasteful number, since it uses less digits than its factorization.

434214102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 434214102 is about 20837.8046348458. The cubic root of 434214102 is about 757.2419083928.

Adding to 434214102 its reverse (201412434), we get a palindrome (635626536).

The spelling of 434214102 in words is "four hundred thirty-four million, two hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 137 138 161 193 238 274 322 357 386 391 411 483 579 714 782 822 959 966 1158 1173 1351 1918 2329 2346 2702 2737 2877 3151 3281 4053 4439 4658 5474 5754 6302 6562 6987 8106 8211 8878 9453 9843 13317 13974 16303 16422 18906 19686 22057 22967 26441 26634 31073 32606 44114 45934 48909 52882 53567 62146 66171 68901 75463 79323 93219 97818 107134 132342 137802 150926 158646 160701 185087 186438 226389 321402 370174 374969 449497 452778 528241 555261 608143 749938 898994 1056482 1110522 1124907 1216286 1348491 1584723 1824429 2249814 2696982 3146479 3169446 3648858 4257001 6292958 8514002 9439437 10338431 12771003 18878874 20676862 25542006 31015293 62030586 72369017 144738034 217107051 434214102