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34416416336 = 2411953179957
BaseRepresentation
bin100000000011011000…
…001101011001010000
310021211112120002122112
4200003120031121100
51030441100310321
623451035124452
72325604466141
oct400330153120
9107745502575
1034416416336
1113661195a95
126805ba3728
1333263552c3
141946bd7ac8
15d66706a5b
hex80360d650

34416416336 has 20 divisors (see below), whose sum is σ = 66687755892. Its totient is φ = 17206672896.

The previous prime is 34416416329. The next prime is 34416416347. The reversal of 34416416336 is 63361461443.

It can be written as a sum of positive squares in 2 ways, for example, as 19521678400 + 14894737936 = 139720^2 + 122044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34416416293 and 34416416302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101270 + ... + 281226.

Almost surely, 234416416336 is an apocalyptic number.

It is an amenable number.

34416416336 is a deficient number, since it is larger than the sum of its proper divisors (32271339556).

34416416336 is a wasteful number, since it uses less digits than its factorization.

34416416336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191918 (or 191912 counting only the distinct ones).

The product of its digits is 373248, while the sum is 41.

Adding to 34416416336 its reverse (63361461443), we get a palindrome (97777877779).

The spelling of 34416416336 in words is "thirty-four billion, four hundred sixteen million, four hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 11953 23906 47812 95624 179957 191248 359914 719828 1439656 2879312 2151026021 4302052042 8604104084 17208208168 34416416336