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64144332 = 223372172331
BaseRepresentation
bin1111010010110…
…0001111001100
311110200212111000
43310230033030
5112410104312
610210500300
71406134500
oct364541714
9143625430
1064144332
113323164a
1219594690
131039b435
14873a300
155970adc
hex3d2c3cc

64144332 has 288 divisors, whose sum is σ = 220631040. Its totient is φ = 15966720.

The previous prime is 64144219. The next prime is 64144343. The reversal of 64144332 is 23344146.

It is a super-2 number, since 2×641443322 = 8228990655452448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 64144296 and 64144305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2069157 + ... + 2069187.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 264144332 is an apocalyptic number.

64144332 is a gapful number since it is divisible by the number (62) 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 64144332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

64144332 is an abundant number, since it is smaller than the sum of its proper divisors (156486708).

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

64144332 is a wasteful number, since it uses less digits than its factorization.

64144332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 64144332 is about 8009.0156698561. The cubic root of 64144332 is about 400.3004659107.

Adding to 64144332 its reverse (23344146), we get a palindrome (87488478).

The spelling of 64144332 in words is "sixty-four million, one hundred forty-four thousand, three hundred thirty-two".