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32401116 = 223211174813
BaseRepresentation
bin111101110011…
…0011011011100
32020222010222100
41323212123130
531243313431
63114245100
7542255616
oct173463334
966863870
1032401116
1117320490
12aa26790
136935b77
144435db6
152ca04e6
hex1ee66dc

32401116 has 72 divisors (see below), whose sum is σ = 94623984. Its totient is φ = 9239040.

The previous prime is 32401079. The next prime is 32401121. The reversal of 32401116 is 61110423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4326 + ... + 9138.

It is an arithmetic number, because the mean of its divisors is an integer number (1314222).

Almost surely, 232401116 is an apocalyptic number.

32401116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32401116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47311992).

32401116 is an abundant number, since it is smaller than the sum of its proper divisors (62222868).

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

32401116 is a wasteful number, since it uses less digits than its factorization.

32401116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 32401116 is about 5692.1978180664. The cubic root of 32401116 is about 318.8012309812.

Adding to 32401116 its reverse (61110423), we get a palindrome (93511539).

It can be divided in two parts, 3240 and 1116, that added together give a square (4356 = 662).

The spelling of 32401116 in words is "thirty-two million, four hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 4813 6732 9626 14439 19252 28878 43317 52943 57756 81821 86634 105886 158829 163642 173268 211772 245463 317658 327284 476487 490926 635316 736389 900031 952974 981852 1472778 1800062 1905948 2700093 2945556 3600124 5400186 8100279 10800372 16200558 32401116