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3434302014 = 23111310338861
BaseRepresentation
bin1100110010110011…
…0100101000111110
322212100020121200220
43030230310220332
524013140131024
61324441002210
7151051041213
oct31454645076
98770217626
103434302014
111502634a30
127ba183366
13429675c90
14248179b0a
15151780e79
hexccb34a3e

3434302014 has 64 divisors (see below), whose sum is σ = 8147962368. Its totient is φ = 951292800.

The previous prime is 3434301953. The next prime is 3434302033. The reversal of 3434302014 is 4102034343.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 68944 + ... + 107804.

It is an arithmetic number, because the mean of its divisors is an integer number (127311912).

Almost surely, 23434302014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434302014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073981184).

3434302014 is an abundant number, since it is smaller than the sum of its proper divisors (4713660354).

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

3434302014 is a wasteful number, since it uses less digits than its factorization.

3434302014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38993.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3434302014 is about 58602.9181355331. The cubic root of 3434302014 is about 1508.7345235656.

Adding to 3434302014 its reverse (4102034343), we get a palindrome (7536336357).

The spelling of 3434302014 in words is "three billion, four hundred thirty-four million, three hundred two thousand, fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 103 143 206 286 309 429 618 858 1133 1339 2266 2678 3399 4017 6798 8034 14729 29458 38861 44187 77722 88374 116583 233166 427471 505193 854942 1010386 1282413 1515579 2564826 3031158 4002683 5557123 8005366 11114246 12008049 16671369 24016098 33342738 44029513 52034879 88059026 104069758 132088539 156104637 264177078 312209274 572383669 1144767338 1717151007 3434302014