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3414843414 = 233177947087
BaseRepresentation
bin1100101110001010…
…0110000000010110
322210222122000112000
43023202212000112
523443144442124
61322503540130
7150423455463
oct31342460026
98728560460
103414843414
1114a2654444
127b375a646
13425622108
1424575266a
1514ebda6c9
hexcb8a6016

3414843414 has 64 divisors (see below), whose sum is σ = 8136806400. Its totient is φ = 1057739904.

The previous prime is 3414843361. The next prime is 3414843427. The reversal of 3414843414 is 4143484143.

It is a super-2 number, since 2×34148434142 = 23322311084278350792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48979 + ... + 96065.

It is an arithmetic number, because the mean of its divisors is an integer number (127137600).

Almost surely, 23414843414 is an apocalyptic number.

3414843414 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 3414843414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068403200).

3414843414 is an abundant number, since it is smaller than the sum of its proper divisors (4721962986).

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

3414843414 is a wasteful number, since it uses less digits than its factorization.

3414843414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47194 (or 47188 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 3414843414 is about 58436.6615576215. The cubic root of 3414843414 is about 1505.8796510231.

The spelling of 3414843414 in words is "three billion, four hundred fourteen million, eight hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 102 153 158 237 306 459 474 711 918 1343 1422 2133 2686 4029 4266 8058 12087 24174 36261 47087 72522 94174 141261 282522 423783 800479 847566 1271349 1600958 2401437 2542698 3719873 4802874 7204311 7439746 11159619 14408622 21612933 22319238 33478857 43225866 63237841 66957714 100436571 126475682 189713523 200873142 379427046 569140569 1138281138 1707421707 3414843414