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93342240 = 25335173141
BaseRepresentation
bin1011001000001…
…00101000100000
320111122021111000
411210010220200
5142343422430
613132352000
72212252545
oct544045040
9214567430
1093342240
1148764452
1227315600
13164522c4
14c57abcc
1582dbe60
hex5904a20

93342240 has 384 divisors, whose sum is σ = 365783040. Its totient is φ = 22118400.

The previous prime is 93342239. The next prime is 93342241. The reversal of 93342240 is 4224339.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (93342239) and next prime (93342241).

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 not an unprimeable number, because it can be changed into a prime (93342241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2276620 + ... + 2276660.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 293342240 is an apocalyptic number.

93342240 is a gapful number since it is divisible by the number (90) 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 93342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

93342240 is an abundant number, since it is smaller than the sum of its proper divisors (272440800).

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

93342240 is a wasteful number, since it uses less digits than its factorization.

93342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 93342240 is about 9661.3787835898. The cubic root of 93342240 is about 453.6205695999.

Adding to 93342240 its reverse (4224339), we get a palindrome (97566579).

The spelling of 93342240 in words is "ninety-three million, three hundred forty-two thousand, two hundred forty".