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61648344 = 23332691061
BaseRepresentation
bin1110101100101…
…0110111011000
311022000001122000
43223022313120
5111240221334
610041201000
71346000532
oct353126730
9138001560
1061648344
113188734a
1218790160
13ca06314
14828a852
15562b299
hex3acadd8

61648344 has 64 divisors (see below), whose sum is σ = 172044000. Its totient is φ = 20453760.

The previous prime is 61648339. The next prime is 61648351. The reversal of 61648344 is 44384616.

61648344 is a `hidden beast` number, since 6 + 1 + 648 + 3 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61648299 and 61648308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57574 + ... + 58634.

Almost surely, 261648344 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 61648344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86022000).

61648344 is an abundant number, since it is smaller than the sum of its proper divisors (110395656).

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

61648344 is a wasteful number, since it uses less digits than its factorization.

61648344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1335 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 61648344 is about 7851.6459420939. The cubic root of 61648344 is about 395.0394534111.

The spelling of 61648344 in words is "sixty-one million, six hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 269 538 807 1061 1076 1614 2122 2152 2421 3183 3228 4244 4842 6366 6456 7263 8488 9549 9684 12732 14526 19098 19368 25464 28647 29052 38196 57294 58104 76392 114588 229176 285409 570818 856227 1141636 1712454 2283272 2568681 3424908 5137362 6849816 7706043 10274724 15412086 20549448 30824172 61648344