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69318144 = 293272307
BaseRepresentation
bin1000010000110…
…11011000000000
311211102201121200
410020123120000
5120221140034
610513421200
71501123500
oct410333000
9154381550
1069318144
1136145825
121b26a800
131149036c
1492c5a00
156143a99
hex421b600

69318144 has 180 divisors, whose sum is σ = 233477244. Its totient is φ = 19740672.

The previous prime is 69318127. The next prime is 69318157. The reversal of 69318144 is 44181396.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 69318099 and 69318108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225639 + ... + 225945.

Almost surely, 269318144 is an apocalyptic number.

69318144 is a gapful number since it is divisible by the number (64) 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 69318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116738622).

69318144 is an abundant number, since it is smaller than the sum of its proper divisors (164159100).

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

69318144 is a wasteful number, since it uses less digits than its factorization.

69318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 319 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 69318144 is about 8325.7518579405. The cubic root of 69318144 is about 410.7860075564.

The spelling of 69318144 in words is "sixty-nine million, three hundred eighteen thousand, one hundred forty-four".