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64184340 = 223511791231
BaseRepresentation
bin1111010011011…
…0000000010100
311110202220100210
43310312000110
5112412344330
610211405420
71406362233
oct364660024
9143686323
1064184340
1133259710
12195b3870
13103b36cc
14874ab1a
15597c8b0
hex3d36014

64184340 has 96 divisors (see below), whose sum is σ = 198696960. Its totient is φ = 15350400.

The previous prime is 64184327. The next prime is 64184357. The reversal of 64184340 is 4348146.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64184298 and 64184307.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 51525 + ... + 52755.

It is an arithmetic number, because the mean of its divisors is an integer number (2069760).

Almost surely, 264184340 is an apocalyptic number.

64184340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64184340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99348480).

64184340 is an abundant number, since it is smaller than the sum of its proper divisors (134512620).

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

64184340 is a wasteful number, since it uses less digits than its factorization.

64184340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 64184340 is about 8011.5129657263. The cubic root of 64184340 is about 400.3836735355.

The spelling of 64184340 in words is "sixty-four million, one hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1231 1580 1738 2370 2462 2607 3476 3693 4345 4740 4924 5214 6155 7386 8690 10428 12310 13035 13541 14772 17380 18465 24620 26070 27082 36930 40623 52140 54164 67705 73860 81246 97249 135410 162492 194498 203115 270820 291747 388996 406230 486245 583494 812460 972490 1069739 1166988 1458735 1944980 2139478 2917470 3209217 4278956 5348695 5834940 6418434 10697390 12836868 16046085 21394780 32092170 64184340