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34123430320430 = 2511259613779749
BaseRepresentation
bin1111100001000111110101…
…11100010101100100101110
311110211011112112022101220112
413300203322330111210232
513433034241130223210
6200324030521220022
710121223261664043
oct760437274254456
9143734475271815
1034123430320430
11a966735902300
1239b1423931612
131606a97002939
1485d8234531ca
153e2966e80d05
hex1f08faf1592e

34123430320430 has 96 divisors (see below), whose sum is σ = 68770020060000. Its totient is φ = 12178291403520.

The previous prime is 34123430320409. The next prime is 34123430320433. The reversal of 34123430320430 is 3402303432143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123430320433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43372196 + ... + 44151944.

It is an arithmetic number, because the mean of its divisors is an integer number (716354375625).

Almost surely, 234123430320430 is an apocalyptic number.

34123430320430 is an abundant number, since it is smaller than the sum of its proper divisors (34646589739570).

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

34123430320430 is a wasteful number, since it uses less digits than its factorization.

34123430320430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780450 (or 780439 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 34123430320430 its reverse (3402303432143), we get a palindrome (37525733752573).

The spelling of 34123430320430 in words is "thirty-four trillion, one hundred twenty-three billion, four hundred thirty million, three hundred twenty thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 55 59 110 118 121 242 295 590 605 613 649 1210 1226 1298 3065 3245 6130 6490 6743 7139 13486 14278 33715 35695 36167 67430 71390 72334 74173 148346 180835 361670 370865 397837 741730 779749 795674 1559498 1989185 3898745 3978370 4376207 7797490 8577239 8752414 17154478 21881035 42886195 43762070 46005191 85772390 92010382 94349629 188699258 230025955 460051910 471748145 477986137 506057101 943496290 955972274 1012114202 2389930685 2530285505 4779861370 5060571010 5257847507 5566628111 10515695014 11133256222 26289237535 27833140555 28201182083 52578475070 55666281110 56402364166 57836322577 115672645154 141005910415 282011820830 289181612885 310213002913 578363225770 620426005826 1551065014565 3102130029130 3412343032043 6824686064086 17061715160215 34123430320430