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45170328 = 2337674013
BaseRepresentation
bin1010110001001…
…1111010011000
310010222220001010
42230103322120
543030422303
64252053520
71055640630
oct254237230
9103886033
1045170328
1123552155
12131642a0
139487008
145ddb6c0
153e73c03
hex2b13e98

45170328 has 64 divisors (see below), whose sum is σ = 131016960. Its totient is φ = 12710016.

The previous prime is 45170311. The next prime is 45170329. The reversal of 45170328 is 82307154.

45170328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×451703283 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45170295 and 45170304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45170329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9250 + ... + 13262.

It is an arithmetic number, because the mean of its divisors is an integer number (2047140).

Almost surely, 245170328 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 45170328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65508480).

45170328 is an abundant number, since it is smaller than the sum of its proper divisors (85846632).

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

45170328 is a wasteful number, since it uses less digits than its factorization.

45170328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 45170328 is about 6720.8874414024. The cubic root of 45170328 is about 356.1375347056.

The spelling of 45170328 in words is "forty-five million, one hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 4013 5628 8026 11256 12039 16052 24078 28091 32104 48156 56182 84273 96312 112364 168546 224728 268871 337092 537742 674184 806613 1075484 1613226 1882097 2150968 3226452 3764194 5646291 6452904 7528388 11292582 15056776 22585164 45170328