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64328100 = 22352316917
BaseRepresentation
bin1111010101100…
…1000110100100
311111001012120020
43311121012210
5112431444400
610214435140
71410531324
oct365310644
9144035506
1064328100
1133347721
1219662ab0
1310433c85
148787284
1559aa2a0
hex3d591a4

64328100 has 72 divisors (see below), whose sum is σ = 192154368. Its totient is φ = 16598400.

The previous prime is 64328093. The next prime is 64328137. The reversal of 64328100 is 182346.

It is a happy number.

64328100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×643281002 = 8276208899220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5842 + ... + 12758.

Almost surely, 264328100 is an apocalyptic number.

64328100 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 64328100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96077184).

64328100 is an abundant number, since it is smaller than the sum of its proper divisors (127826268).

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

64328100 is a wasteful number, since it uses less digits than its factorization.

64328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6958 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 64328100 is about 8020.4800355091. The cubic root of 64328100 is about 400.6823769091.

The spelling of 64328100 in words is "sixty-four million, three hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 6917 9300 13834 20751 27668 34585 41502 69170 83004 103755 138340 172925 207510 214427 345850 415020 428854 518775 643281 691700 857708 1037550 1072135 1286562 2075100 2144270 2573124 3216405 4288540 5360675 6432810 10721350 12865620 16082025 21442700 32164050 64328100