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64354032 = 2432795657
BaseRepresentation
bin1111010101111…
…1011011110000
311111002112010200
43311133123300
5112433312112
610215155200
71411000041
oct365373360
9144075120
1064354032
1133365156
1219675b00
1310442a12
1487928c8
1559b2cdc
hex3d5f6f0

64354032 has 60 divisors (see below), whose sum is σ = 182413920. Its totient is φ = 21176064.

The previous prime is 64354021. The next prime is 64354033. The reversal of 64354032 is 23045346.

It is a junction number, because it is equal to n+sod(n) for n = 64353987 and 64354005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64354033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8548 + ... + 14204.

It is an arithmetic number, because the mean of its divisors is an integer number (3040232).

Almost surely, 264354032 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 64354032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91206960).

64354032 is an abundant number, since it is smaller than the sum of its proper divisors (118059888).

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

64354032 is a wasteful number, since it uses less digits than its factorization.

64354032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 64354032 is about 8022.0964840869. The cubic root of 64354032 is about 400.7362108194.

Adding to 64354032 its reverse (23045346), we get a palindrome (87399378).

The spelling of 64354032 in words is "sixty-four million, three hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5657 5688 11314 11376 16971 22628 33942 45256 50913 67884 90512 101826 135768 203652 271536 407304 446903 814608 893806 1340709 1787612 2681418 3575224 4022127 5362836 7150448 8044254 10725672 16088508 21451344 32177016 64354032