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434342521404 = 2233111013619883
BaseRepresentation
bin1100101001000001101…
…01001110101000111100
31112112010002002012212000
412110200311032220330
524104013141141104
6531311215342300
743244261342061
oct6244065165074
91475102065760
10434342521404
11158227036aa0
1270218521990
1331c5c59001c
1417045242c68
15b4718a5639
hex6520d4ea3c

434342521404 has 96 divisors (see below), whose sum is σ = 1240606644480. Its totient is φ = 130315752000.

The previous prime is 434342521397. The next prime is 434342521429. The reversal of 434342521404 is 404125243434.

434342521404 is a `hidden beast` number, since 4 + 3 + 434 + 2 + 5 + 214 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1689954 + ... + 1929929.

It is an arithmetic number, because the mean of its divisors is an integer number (12922985880).

Almost surely, 2434342521404 is an apocalyptic number.

434342521404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434342521404 is an abundant number, since it is smaller than the sum of its proper divisors (806264123076).

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

434342521404 is a wasteful number, since it uses less digits than its factorization.

434342521404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620008 (or 3620000 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 434342521404 its reverse (404125243434), we get a palindrome (838467764838).

The spelling of 434342521404 in words is "four hundred thirty-four billion, three hundred forty-two million, five hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 101 108 132 198 202 297 303 396 404 594 606 909 1111 1188 1212 1818 2222 2727 3333 3636 4444 5454 6666 9999 10908 13332 19998 29997 39996 59994 119988 3619883 7239766 10859649 14479532 21719298 32578947 39818713 43438596 65157894 79637426 97736841 119456139 130315788 159274852 195473682 238912278 358368417 365608183 390947364 477824556 716736834 731216366 1075105251 1096824549 1433473668 1462432732 2150210502 2193649098 3290473647 4021690013 4300421004 4387298196 6580947294 8043380026 9871420941 12065070039 13161894588 16086760052 19742841882 24130140078 36195210117 39485683764 48260280156 72390420234 108585630351 144780840468 217171260702 434342521404