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3414400434 = 2321929344263
BaseRepresentation
bin1100101110000011…
…1001110110110010
322210221210111212100
43023200321312302
523443041303214
61322450241230
7150416632134
oct31340716662
98727714770
103414400434
1114a2381645
127b3586216
134254c85b3
14245679054
1514eb4e309
hexcb839db2

3414400434 has 48 divisors (see below), whose sum is σ = 8055777600. Its totient is φ = 1041048288.

The previous prime is 3414400417. The next prime is 3414400469. The reversal of 3414400434 is 4340044143.

It is a junction number, because it is equal to n+sod(n) for n = 3414400398 and 3414400407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162214 + ... + 182049.

It is an arithmetic number, because the mean of its divisors is an integer number (167828700).

Almost surely, 23414400434 is an apocalyptic number.

3414400434 is an abundant number, since it is smaller than the sum of its proper divisors (4641377166).

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

3414400434 is a wasteful number, since it uses less digits than its factorization.

3414400434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344319 (or 344316 counting only the distinct ones).

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

The square root of 3414400434 is about 58432.8711771037. The cubic root of 3414400434 is about 1505.8145330139.

Adding to 3414400434 its reverse (4340044143), we get a palindrome (7754444577).

The spelling of 3414400434 in words is "three billion, four hundred fourteen million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4959 9918 344263 688526 1032789 2065578 3098367 6196734 6540997 9983627 13081994 19622991 19967254 29950881 39245982 58868973 59901762 89852643 117737946 179705286 189688913 379377826 569066739 1138133478 1707200217 3414400434