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2430402331 = 717137149077
BaseRepresentation
bin1001000011011100…
…1111111100011011
320021101020020020011
42100313033330123
514434140333311
61041055542351
7114141036040
oct22067177433
96241206204
102430402331
111037998275
12579b2a9b7
132c96a1ab6
14190ad51c7
15e357e321
hex90dcff1b

2430402331 has 16 divisors (see below), whose sum is σ = 2962478016. Its totient is φ = 1946336256.

The previous prime is 2430402307. The next prime is 2430402343. The reversal of 2430402331 is 1332040342.

It is a happy number.

It is not a de Polignac number, because 2430402331 - 225 = 2396847899 is a prime.

It is a super-2 number, since 2×24304023312 = 11813710981060467122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2430402301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58236 + ... + 90841.

It is an arithmetic number, because the mean of its divisors is an integer number (185154876).

Almost surely, 22430402331 is an apocalyptic number.

2430402331 is a deficient number, since it is larger than the sum of its proper divisors (532075685).

2430402331 is a wasteful number, since it uses less digits than its factorization.

2430402331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149238.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2430402331 is about 49299.1108540509. The cubic root of 2430402331 is about 1344.4956177349.

Adding to 2430402331 its reverse (1332040342), we get a palindrome (3762442673).

The spelling of 2430402331 in words is "two billion, four hundred thirty million, four hundred two thousand, three hundred thirty-one".

Divisors: 1 7 17 119 137 959 2329 16303 149077 1043539 2534309 17740163 20423549 142964843 347200333 2430402331