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45880344 = 23367867
BaseRepresentation
bin1010111100000…
…1010000011000
310012022222000000
42233001100120
543221132334
64315213000
71064655636
oct257012030
9105288000
1045880344
1123997644
1213447160
139675243
146144356
154064299
hex2bc1418

45880344 has 56 divisors (see below), whose sum is σ = 128995860. Its totient is φ = 15291504.

The previous prime is 45880343. The next prime is 45880369. The reversal of 45880344 is 44308854.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45880299 and 45880308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45880343) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1899 + ... + 9765.

Almost surely, 245880344 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 45880344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64497930).

45880344 is an abundant number, since it is smaller than the sum of its proper divisors (83115516).

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

45880344 is an equidigital number, since it uses as much as digits as its factorization.

45880344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7891 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 45880344 is about 6773.5030818624. The cubic root of 45880344 is about 357.9938411183.

The spelling of 45880344 in words is "forty-five million, eight hundred eighty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 7867 15734 23601 31468 47202 62936 70803 94404 141606 188808 212409 283212 424818 566424 637227 849636 1274454 1699272 1911681 2548908 3823362 5097816 5735043 7646724 11470086 15293448 22940172 45880344