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4646340040 = 2351715314463
BaseRepresentation
bin1000101001111000…
…11000010111001000
3102222210220112022011
410110330120113020
534003430340130
62045015105304
7223066144606
oct42474302710
912883815264
104646340040
111a74813051
12a98072234
135907c3844
14321120876
151c2d9852a
hex114f185c8

4646340040 has 64 divisors (see below), whose sum is σ = 11078933760. Its totient is φ = 1747676160.

The previous prime is 4646340031. The next prime is 4646340043. The reversal of 4646340040 is 400436464.

It is a junction number, because it is equal to n+sod(n) for n = 4646339984 and 4646340011.

It is not an unprimeable number, because it can be changed into a prime (4646340043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038849 + ... + 1043311.

It is an arithmetic number, because the mean of its divisors is an integer number (173108340).

Almost surely, 24646340040 is an apocalyptic number.

4646340040 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 4646340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539466880).

4646340040 is an abundant number, since it is smaller than the sum of its proper divisors (6432593720).

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

4646340040 is a wasteful number, since it uses less digits than its factorization.

4646340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 4646340040 is about 68164.0670734955. The cubic root of 4646340040 is about 1668.6695081227.

The spelling of 4646340040 in words is "four billion, six hundred forty-six million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1531 3062 4463 6124 7655 8926 12248 15310 17852 22315 26027 30620 35704 44630 52054 61240 75871 89260 104108 130135 151742 178520 208216 260270 303484 379355 520540 606968 758710 1041080 1517420 3034840 6832853 13665706 27331412 34164265 54662824 68328530 116158501 136657060 232317002 273314120 464634004 580792505 929268008 1161585010 2323170020 4646340040