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34024012302 = 23721139371093
BaseRepresentation
bin11111101011111111…
…010011101000001110
310020211012011220111210
4133223333103220032
51024140121343202
623344100355250
72313101222100
oct375377235016
9106735156453
1034024012302
111347a739035
1267166a5b26
133292c73277
14190aa4d570
15d42043c6c
hex7ebfd3a0e

34024012302 has 96 divisors (see below), whose sum is σ = 80016787872. Its totient is φ = 9616029696.

The previous prime is 34024012301. The next prime is 34024012303. The reversal of 34024012302 is 20321042043.

It is an interprime number because it is at equal distance from previous prime (34024012301) and next prime (34024012303).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024012301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31128468 + ... + 31129560.

It is an arithmetic number, because the mean of its divisors is an integer number (833508207).

Almost surely, 234024012302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34024012302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40008393936).

34024012302 is an abundant number, since it is smaller than the sum of its proper divisors (45992775570).

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

34024012302 is a wasteful number, since it uses less digits than its factorization.

34024012302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34024012302 its reverse (20321042043), we get a palindrome (54345054345).

The spelling of 34024012302 in words is "thirty-four billion, twenty-four million, twelve thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 226 294 339 678 791 937 1093 1582 1874 2186 2373 2811 3279 4746 5537 5622 6558 6559 7651 11074 13118 15302 16611 19677 22953 33222 39354 45906 45913 53557 91826 105881 107114 123509 137739 160671 211762 247018 275478 317643 321342 370527 635286 741054 741167 864563 1024141 1482334 1729126 2048282 2223501 2593689 3072423 4447002 5187378 5188169 6051941 6144846 7168987 10376338 12103882 14337974 15564507 18155823 21506961 31129014 36311646 43013922 50182909 100365818 115727933 150548727 231455866 301097454 347183799 694367598 810095531 1620191062 2430286593 4860573186 5670668717 11341337434 17012006151 34024012302