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104336352 = 2532615939
BaseRepresentation
bin1100011100000…
…00101111100000
321021022211120100
412032000233200
5203202230402
614204142400
72404562421
oct616005740
9237284510
10104336352
115399349a
122ab37a00
13188014b3
14dbdd648
15925e71c
hex6380be0

104336352 has 72 divisors (see below), whose sum is σ = 301621320. Its totient is φ = 34202880.

The previous prime is 104336339. The next prime is 104336357. The reversal of 104336352 is 253633401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104336357) 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 11 ways as a sum of consecutive naturals, for example, 14599 + ... + 20537.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2104336352 is an apocalyptic number.

104336352 is a gapful number since it is divisible by the number (12) 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 104336352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150810660).

104336352 is an abundant number, since it is smaller than the sum of its proper divisors (197284968).

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

104336352 is a wasteful number, since it uses less digits than its factorization.

104336352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 104336352 is about 10214.5167286563. The cubic root of 104336352 is about 470.7733638573.

Adding to 104336352 its reverse (253633401), we get a palindrome (357969753).

The spelling of 104336352 in words is "one hundred four million, three hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 5939 8784 11878 17568 17817 23756 35634 47512 53451 71268 95024 106902 142536 190048 213804 285072 362279 427608 570144 724558 855216 1086837 1449116 1710432 2173674 2898232 3260511 4347348 5796464 6521022 8694696 11592928 13042044 17389392 26084088 34778784 52168176 104336352