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2073457344 = 26372613613
BaseRepresentation
bin111101110010110…
…0111001011000000
312100111120112202110
41323211213023000
513221301113334
6541425215320
7102245045100
oct17345471300
95314515673
102073457344
1197445a212
1249a491540
1327075674a
1415953b200
15c2072ae9
hex7b9672c0

2073457344 has 168 divisors, whose sum is σ = 6488113008. Its totient is φ = 582543360.

The previous prime is 2073457339. The next prime is 2073457349. The reversal of 2073457344 is 4437543702.

It is a happy number.

2073457344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2073457339) and next prime (2073457349).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (2073457349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572082 + ... + 575694.

Almost surely, 22073457344 is an apocalyptic number.

2073457344 is a gapful number since it is divisible by the number (24) 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 2073457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244056504).

2073457344 is an abundant number, since it is smaller than the sum of its proper divisors (4414655664).

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

2073457344 is a wasteful number, since it uses less digits than its factorization.

2073457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 39.

The square root of 2073457344 is about 45535.2318979491. The cubic root of 2073457344 is about 1275.1610395590.

The spelling of 2073457344 in words is "two billion, seventy-three million, four hundred fifty-seven thousand, three hundred forty-four".