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47340384 = 2537135419
BaseRepresentation
bin1011010010010…
…1101101100000
310022002010210120
42310211231200
544104343014
64410400240
71113246420
oct264455540
9108063716
1047340384
11247a4593
1213a30080
139a66980
146404480
154251ba9
hex2d25b60

47340384 has 96 divisors (see below), whose sum is σ = 152974080. Its totient is φ = 12483072.

The previous prime is 47340373. The next prime is 47340389. The reversal of 47340384 is 48304374.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×473403842 = 4482223914534912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47340389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6027 + ... + 11445.

It is an arithmetic number, because the mean of its divisors is an integer number (1593480).

Almost surely, 247340384 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 47340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76487040).

47340384 is an abundant number, since it is smaller than the sum of its proper divisors (105633696).

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

47340384 is a wasteful number, since it uses less digits than its factorization.

47340384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 47340384 is about 6880.4348699773. The cubic root of 47340384 is about 361.7517095159.

The spelling of 47340384 in words is "forty-seven million, three hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 5419 8736 10838 16257 21676 32514 37933 43352 65028 70447 75866 86704 113799 130056 140894 151732 173408 211341 227598 260112 281788 303464 422682 455196 493129 520224 563576 606928 845364 910392 986258 1127152 1213856 1479387 1690728 1820784 1972516 2254304 2958774 3381456 3641568 3945032 5917548 6762912 7890064 11835096 15780128 23670192 47340384