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4003114340 = 225972063461
BaseRepresentation
bin1110111010011010…
…1010110101100100
3101022222120021112002
43232212222311210
531144244124330
61501120344432
7201125624201
oct35646526544
911288507462
104003114340
111774721065
12938775118
134ba472114
1429d924ca8
1518668ce45
hexee9aad64

4003114340 has 24 divisors (see below), whose sum is σ = 8493209592. Its totient is φ = 1584737280.

The previous prime is 4003114337. The next prime is 4003114343. The reversal of 4003114340 is 434113004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4003114337) and next prime (4003114343).

It can be written as a sum of positive squares in 4 ways, for example, as 189557824 + 3813556516 = 13768^2 + 61754^2 .

It is a super-2 number, since 2×40031143402 = 32049848838227271200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4003114343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029791 + ... + 1033670.

It is an arithmetic number, because the mean of its divisors is an integer number (353883733).

Almost surely, 24003114340 is an apocalyptic number.

It is an amenable number.

4003114340 is an abundant number, since it is smaller than the sum of its proper divisors (4490095252).

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

4003114340 is a wasteful number, since it uses less digits than its factorization.

4003114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063567 (or 2063565 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4003114340 is about 63270.1694323636. The cubic root of 4003114340 is about 1587.8129206444.

Adding to 4003114340 its reverse (434113004), we get a palindrome (4437227344).

The spelling of 4003114340 in words is "four billion, three million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 2063461 4126922 8253844 10317305 20634610 41269220 200155717 400311434 800622868 1000778585 2001557170 4003114340