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2348374842 = 235112371269
BaseRepresentation
bin1000101111111001…
…0101101100111010
320001122212210200000
42023332111230322
514302140443332
61025005453430
7112123566612
oct21376255472
96048783600
102348374842
11aa5661860
12556571276
132b56b1918
14183c61a42
15db279b7c
hex8bf95b3a

2348374842 has 192 divisors, whose sum is σ = 6113802240. Its totient is φ = 668606400.

The previous prime is 2348374823. The next prime is 2348374877. The reversal of 2348374842 is 2484738432.

2348374842 is a `hidden beast` number, since 23 + 483 + 74 + 84 + 2 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8729884 + ... + 8730152.

It is an arithmetic number, because the mean of its divisors is an integer number (31842720).

Almost surely, 22348374842 is an apocalyptic number.

2348374842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2348374842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056901120).

2348374842 is an abundant number, since it is smaller than the sum of its proper divisors (3765427398).

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

2348374842 is a wasteful number, since it uses less digits than its factorization.

2348374842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 2348374842 is about 48460.0334502567. The cubic root of 2348374842 is about 1329.1963490603.

The spelling of 2348374842 in words is "two billion, three hundred forty-eight million, three hundred seventy-four thousand, eight hundred forty-two".