Search a number
-
+
34024610103 = 3112574011863
BaseRepresentation
bin11111101100000001…
…100101100100110111
310020211020022021112120
4133230001211210313
51024140300010403
623344121251023
72313106262001
oct375401454467
9106736267476
1034024610103
1113480007190
126716933a73
1332931223b3
14190ab67371
15d42110e53
hex7ec065937

34024610103 has 16 divisors (see below), whose sum is σ = 49682923776. Its totient is φ = 20540733440.

The previous prime is 34024610089. The next prime is 34024610117. The reversal of 34024610103 is 30101642043.

It is an interprime number because it is at equal distance from previous prime (34024610089) and next prime (34024610117).

It is a cyclic number.

It is not a de Polignac number, because 34024610103 - 25 = 34024610071 is a prime.

It is a super-2 number, since 2×340246101032 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024610303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1997451 + ... + 2014412.

It is an arithmetic number, because the mean of its divisors is an integer number (3105182736).

Almost surely, 234024610103 is an apocalyptic number.

34024610103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34024610103 is a deficient number, since it is larger than the sum of its proper divisors (15658313673).

34024610103 is a wasteful number, since it uses less digits than its factorization.

34024610103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012134.

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 34024610103 in words is "thirty-four billion, twenty-four million, six hundred ten thousand, one hundred three".

Divisors: 1 3 11 33 257 771 2827 8481 4011863 12035589 44130493 132391479 1031048791 3093146373 11341536701 34024610103