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664002240 = 263511227277
BaseRepresentation
bin100111100100111…
…101111011000000
31201021102210211120
4213210331323000
52324441032430
6145515512240
722311632406
oct4744757300
91637383746
10664002240
113108a2790
12166458680
13a7747445
1464287476
153d461610
hex2793dec0

664002240 has 224 divisors, whose sum is σ = 2318333184. Its totient is φ = 159682560.

The previous prime is 664002223. The next prime is 664002247. The reversal of 664002240 is 42200466.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 664002240.

It is not an unprimeable number, because it can be changed into a prime (664002247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2396982 + ... + 2397258.

Almost surely, 2664002240 is an apocalyptic number.

664002240 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 664002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159166592).

664002240 is an abundant number, since it is smaller than the sum of its proper divisors (1654330944).

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

664002240 is a wasteful number, since it uses less digits than its factorization.

664002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 664002240 is about 25768.2409178430. The cubic root of 664002240 is about 872.4151153178.

The spelling of 664002240 in words is "six hundred sixty-four million, two thousand, two hundred forty".