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34021447408 = 24131793792411
BaseRepresentation
bin11111101011110101…
…100001011011110000
310020211000100121010201
4133223311201123300
51024133442304113
623343525404544
72313040350214
oct375365413360
9106730317121
1034021447408
1113479246a93
126715869754
133292585990
14190a582944
15d41bd8cdd
hex7ebd616f0

34021447408 has 80 divisors (see below), whose sum is σ = 71601667200. Its totient is φ = 15566826240.

The previous prime is 34021447381. The next prime is 34021447409. The reversal of 34021447408 is 80474412043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021447409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14109723 + ... + 14112133.

It is an arithmetic number, because the mean of its divisors is an integer number (895020840).

Almost surely, 234021447408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34021447408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35800833600).

34021447408 is an abundant number, since it is smaller than the sum of its proper divisors (37580219792).

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

34021447408 is a wasteful number, since it uses less digits than its factorization.

34021447408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 34021447408 in words is "thirty-four billion, twenty-one million, four hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 179 208 358 379 716 758 1432 1516 2327 2411 2864 3032 4654 4822 4927 6064 9308 9644 9854 18616 19288 19708 31343 37232 38576 39416 62686 67841 78832 125372 135682 250744 271364 431569 501488 542728 863138 881933 913769 1085456 1726276 1763866 1827538 3452552 3527732 3655076 5610397 6905104 7055464 7310152 11220794 11878997 14110928 14620304 22441588 23757994 44883176 47515988 89766352 95031976 163564651 190063952 327129302 654258604 1308517208 2126340463 2617034416 4252680926 8505361852 17010723704 34021447408