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434234112030 = 23352972776283
BaseRepresentation
bin1100101000110100101…
…11101011100000011110
31112111211112002110011000
412110122113223200132
524103302413041110
6531252344011130
743241504023545
oct6243227534036
91474745073130
10434234112030
11158180921474
12701a8160aa6
1331c42c93974
1417034aa315c
15b4670de1c0
hex651a5eb81e

434234112030 has 128 divisors (see below), whose sum is σ = 1199550643200. Its totient is φ = 111647555712.

The previous prime is 434234112019. The next prime is 434234112073. The reversal of 434234112030 is 30211432434.

434234112030 is a `hidden beast` number, since 4 + 3 + 42 + 3 + 411 + 203 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 434234111985 and 434234112003.

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, 5654269 + ... + 5730551.

It is an arithmetic number, because the mean of its divisors is an integer number (9371489400).

Almost surely, 2434234112030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434234112030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599775321600).

434234112030 is an abundant number, since it is smaller than the sum of its proper divisors (765316531170).

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

434234112030 is a wasteful number, since it uses less digits than its factorization.

434234112030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77055 (or 77049 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434234112030 its reverse (30211432434), we get a palindrome (464445544464).

The spelling of 434234112030 in words is "four hundred thirty-four billion, two hundred thirty-four million, one hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 727 783 870 1305 1454 1566 2181 2610 3635 3915 4362 6543 7270 7830 10905 13086 19629 21083 21810 32715 39258 42166 63249 65430 76283 98145 105415 126498 152566 189747 196290 210830 228849 316245 379494 381415 457698 569241 632490 686547 762830 948735 1138482 1144245 1373094 1897470 2059641 2212207 2288490 2846205 3432735 4119282 4424414 5692410 6636621 6865470 10298205 11061035 13273242 19909863 20596410 22122070 33183105 39819726 55457741 59729589 66366210 99549315 110915482 119459178 166373223 199098630 277288705 298647945 332746446 499119669 554577410 597295890 831866115 998239338 1497359007 1608274489 1663732230 2495598345 2994718014 3216548978 4824823467 4991196690 7486795035 8041372445 9649646934 14474470401 14973590070 16082744890 24124117335 28948940802 43423411203 48248234670 72372352005 86846822406 144744704010 217117056015 434234112030