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34336104 = 23311831567
BaseRepresentation
bin1000001011111…
…0110101101000
32101121110021120
42002332311220
532242223404
63223535240
7564565155
oct202766550
971543246
1034336104
1118422250
12b5ba520
13716282a
1447bb22c
1530339d9
hex20bed68

34336104 has 64 divisors (see below), whose sum is σ = 94832640. Its totient is φ = 10272960.

The previous prime is 34336091. The next prime is 34336109. The reversal of 34336104 is 40163343.

34336104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34336109) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21129 + ... + 22695.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 234336104 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 34336104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

34336104 is an abundant number, since it is smaller than the sum of its proper divisors (60496536).

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

34336104 is a wasteful number, since it uses less digits than its factorization.

34336104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 34336104 is about 5859.7016988922. The cubic root of 34336104 is about 325.0251783255.

Adding to 34336104 its reverse (40163343), we get a palindrome (74499447).

The spelling of 34336104 in words is "thirty-four million, three hundred thirty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 498 664 913 996 1567 1826 1992 2739 3134 3652 4701 5478 6268 7304 9402 10956 12536 17237 18804 21912 34474 37608 51711 68948 103422 130061 137896 206844 260122 390183 413688 520244 780366 1040488 1430671 1560732 2861342 3121464 4292013 5722684 8584026 11445368 17168052 34336104