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3404124234 = 2327172277001
BaseRepresentation
bin1100101011100110…
…1101000001001010
322210020110102120100
43022321231001022
523432423433414
61321442110230
7150233402310
oct31271550112
98706412510
103404124234
1114975a2a15
127b004b376
1342333b0c4
142441620b0
1514dcbe609
hexcae6d04a

3404124234 has 96 divisors (see below), whose sum is σ = 8965696896. Its totient is φ = 911232000.

The previous prime is 3404124233. The next prime is 3404124257. The reversal of 3404124234 is 4324214043.

It is a happy number.

3404124234 is a `hidden beast` number, since 3 + 404 + 1 + 24 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3404124198 and 3404124207.

It is not an unprimeable number, because it can be changed into a prime (3404124233) 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, 482734 + ... + 489734.

It is an arithmetic number, because the mean of its divisors is an integer number (93392676).

Almost surely, 23404124234 is an apocalyptic number.

3404124234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404124234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482848448).

3404124234 is an abundant number, since it is smaller than the sum of its proper divisors (5561572662).

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

3404124234 is a wasteful number, since it uses less digits than its factorization.

3404124234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260 (or 7257 counting only the distinct ones).

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

The square root of 3404124234 is about 58344.8732452132. The cubic root of 3404124234 is about 1504.3023493950.

Adding to 3404124234 its reverse (4324214043), we get a palindrome (7728338277).

The spelling of 3404124234 in words is "three billion, four hundred four million, one hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 227 238 306 357 454 681 714 1071 1362 1589 2043 2142 3178 3859 4086 4767 7001 7718 9534 11577 14002 14301 21003 23154 27013 28602 34731 42006 49007 54026 63009 69462 81039 98014 119017 126018 147021 162078 238034 243117 294042 357051 441063 486234 714102 833119 882126 1071153 1589227 1666238 2142306 2499357 3178454 4767681 4998714 7498071 9535362 11124589 14303043 14996142 22249178 27016859 28606086 33373767 54033718 66747534 81050577 100121301 162101154 189118013 200242602 243151731 378236026 486303462 567354039 1134708078 1702062117 3404124234