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2400397741 = 72216122669
BaseRepresentation
bin1000111100010011…
…0010100110101101
320012021202211200001
42033010302212231
514404000211431
61034104504301
7113325021100
oct21704624655
96167684601
102400397741
111021a64395
1256ba7b091
132c33c79c1
1418ab24737
15e0b03e61
hex8f1329ad

2400397741 has 12 divisors (see below), whose sum is σ = 2793714780. Its totient is φ = 2056440960.

The previous prime is 2400397723. The next prime is 2400397759. The reversal of 2400397741 is 1477930042.

2400397741 is digitally balanced in base 2, 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 (2400397723) and next prime (2400397759).

It can be written as a sum of positive squares in 2 ways, for example, as 2010177225 + 390220516 = 44835^2 + 19754^2 .

It is not a de Polignac number, because 2400397741 - 211 = 2400395693 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2400397741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400397711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94555 + ... + 117223.

It is an arithmetic number, because the mean of its divisors is an integer number (232809565).

Almost surely, 22400397741 is an apocalyptic number.

It is an amenable number.

2400397741 is a deficient number, since it is larger than the sum of its proper divisors (393317039).

2400397741 is a wasteful number, since it uses less digits than its factorization.

2400397741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24844 (or 24837 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 2400397741 is about 48993.8541145724. The cubic root of 2400397741 is about 1338.9398574487.

The spelling of 2400397741 in words is "two billion, four hundred million, three hundred ninety-seven thousand, seven hundred forty-one".

Divisors: 1 7 49 2161 15127 22669 105889 158683 1110781 48987709 342913963 2400397741