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108434436 = 223111674919
BaseRepresentation
bin1100111011010…
…01010000000100
321120001001002020
412131221100010
5210224400221
614432043140
72454451245
oct635512004
9246031066
10108434436
1156232440
12303934b0
13196078b6
1410588ccc
1597bdac6
hex6769404

108434436 has 48 divisors (see below), whose sum is σ = 277724160. Its totient is φ = 32655520.

The previous prime is 108434429. The next prime is 108434453. The reversal of 108434436 is 634434801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 108434397 and 108434406.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19585 + ... + 24503.

It is an arithmetic number, because the mean of its divisors is an integer number (5785920).

Almost surely, 2108434436 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 108434436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

108434436 is an abundant number, since it is smaller than the sum of its proper divisors (169289724).

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

108434436 is a wasteful number, since it uses less digits than its factorization.

108434436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 108434436 is about 10413.1856797044. The cubic root of 108434436 is about 476.8580022020.

The spelling of 108434436 in words is "one hundred eight million, four hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 2004 3674 4919 5511 7348 9838 11022 14757 19676 22044 29514 54109 59028 108218 162327 216436 324654 649308 821473 1642946 2464419 3285892 4928838 9036203 9857676 18072406 27108609 36144812 54217218 108434436