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4375338240 = 283571319659
BaseRepresentation
bin1000001001100101…
…00101110100000000
3102021220222012201110
410010302211310000
532430041310430
62002054403320
7213265522110
oct40462456400
912256865643
104375338240
111945845419
12a21360540
13549609a50
142d7139040
151a91b67b0
hex104ca5d00

4375338240 has 576 divisors, whose sum is σ = 18131097600. Its totient is φ = 873234432.

The previous prime is 4375338217. The next prime is 4375338271. The reversal of 4375338240 is 428335734.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 6639031 + ... + 6639689.

It is an arithmetic number, because the mean of its divisors is an integer number (31477600).

Almost surely, 24375338240 is an apocalyptic number.

4375338240 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 4375338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9065548800).

4375338240 is an abundant number, since it is smaller than the sum of its proper divisors (13755759360).

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

4375338240 is a wasteful number, since it uses less digits than its factorization.

4375338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 4375338240 is about 66146.3395812648. The cubic root of 4375338240 is about 1635.5753027879.

The spelling of 4375338240 in words is "four billion, three hundred seventy-five million, three hundred thirty-eight thousand, two hundred forty".