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4030842240 = 273252959409
BaseRepresentation
bin1111000001000001…
…1100010110000000
3101101220202000001100
43300100130112000
531223343422430
61503550534400
7201613410435
oct36020342600
911356660040
104030842240
11178933a487
12945b07400
134c312cb69
142a34a1b8c
15188d18960
hexf041c580

4030842240 has 384 divisors, whose sum is σ = 14678820000. Its totient is φ = 1017741312.

The previous prime is 4030842223. The next prime is 4030842251. The reversal of 4030842240 is 422480304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9855156 + ... + 9855564.

Almost surely, 24030842240 is an apocalyptic number.

4030842240 is a gapful number since it is divisible by the number (40) 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 4030842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339410000).

4030842240 is an abundant number, since it is smaller than the sum of its proper divisors (10647977760).

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

4030842240 is a wasteful number, since it uses less digits than its factorization.

4030842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4030842240 is about 63488.9143079325. The cubic root of 4030842240 is about 1591.4705275276.

The spelling of 4030842240 in words is "four billion, thirty million, eight hundred forty-two thousand, two hundred forty".