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5459346 = 2331719313
BaseRepresentation
bin10100110100110110010010
3101021100211000
4110310312102
52344144341
6313002430
764255314
oct24646622
911240730
105459346
113099762
1219b3416
131191ba9
14a217b4
1572c8b6
hex534d92

5459346 has 64 divisors (see below), whose sum is σ = 13564800. Its totient is φ = 1617408.

The previous prime is 5459297. The next prime is 5459347. The reversal of 5459346 is 6439545.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (64800) is a multiple of the sum of its prime factors (360).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5459346.

It is not an unprimeable number, because it can be changed into a prime (5459347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17286 + ... + 17598.

It is an arithmetic number, because the mean of its divisors is an integer number (211950).

Almost surely, 25459346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5459346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782400).

5459346 is an abundant number, since it is smaller than the sum of its proper divisors (8105454).

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

5459346 is a wasteful number, since it uses less digits than its factorization.

5459346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5459346 is about 2336.5243418377. The cubic root of 5459346 is about 176.0814232412.

The spelling of 5459346 in words is "five million, four hundred fifty-nine thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 313 323 342 459 513 626 646 918 939 969 1026 1878 1938 2817 2907 5321 5634 5814 5947 8451 8721 10642 11894 15963 16902 17442 17841 31926 35682 47889 53523 95778 101099 107046 143667 160569 202198 287334 303297 321138 606594 909891 1819782 2729673 5459346