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84399348 = 223113172017
BaseRepresentation
bin1010000011111…
…01010011110100
312212210221010210
411001331103310
5133101234343
612212545420
72043245145
oct501752364
9185727123
1084399348
1143706530
1224322270
1314640957
14b2cdacc
157622333
hex507d4f4

84399348 has 48 divisors (see below), whose sum is σ = 215619264. Its totient is φ = 25482240.

The previous prime is 84399347. The next prime is 84399383.

84399348 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84399297 and 84399306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84399347) 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, 40836 + ... + 42852.

It is an arithmetic number, because the mean of its divisors is an integer number (4492068).

Almost surely, 284399348 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 84399348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107809632).

84399348 is an abundant number, since it is smaller than the sum of its proper divisors (131219916).

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

84399348 is a wasteful number, since it uses less digits than its factorization.

84399348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2350 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 84399348 is about 9186.9117770881. The cubic root of 84399348 is about 438.6448457019.

The spelling of 84399348 in words is "eighty-four million, three hundred ninety-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 317 634 951 1268 1902 2017 3487 3804 4034 6051 6974 8068 10461 12102 13948 20922 22187 24204 41844 44374 66561 88748 133122 266244 639389 1278778 1918167 2557556 3836334 7033279 7672668 14066558 21099837 28133116 42199674 84399348