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63345240 = 233557319
BaseRepresentation
bin1111000110100…
…1001001011000
311102012021100000
43301221021120
5112204021430
610141413000
71366266000
oct361511130
9142167300
1063345240
1132836242
121926a160
131017b7ba
1485ad000
155863e60
hex3c69258

63345240 has 384 divisors, whose sum is σ = 262080000. Its totient is φ = 13716864.

The previous prime is 63345211. The next prime is 63345263. The reversal of 63345240 is 4254336.

63345240 is a `hidden beast` number, since 633 + 4 + 5 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 3333951 + ... + 3333969.

It is an arithmetic number, because the mean of its divisors is an integer number (682500).

Almost surely, 263345240 is an apocalyptic number.

63345240 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 63345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

63345240 is an abundant number, since it is smaller than the sum of its proper divisors (198734760).

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

63345240 is a wasteful number, since it uses less digits than its factorization.

63345240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

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

The square root of 63345240 is about 7958.9722954663. The cubic root of 63345240 is about 398.6312382372.

Adding to 63345240 its reverse (4254336), we get a palindrome (67599576).

The spelling of 63345240 in words is "sixty-three million, three hundred forty-five thousand, two hundred forty".