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344100031 = 113197101103
BaseRepresentation
bin10100100000101…
…000110010111111
3212222111002111121
4110200220302333
51201042200111
654051131411
711345542042
oct2440506277
9788432447
10344100031
111672654a0
12972a3b67
135639b8b2
14339b2c59
1520320871
hex14828cbf

344100031 has 32 divisors (see below), whose sum is σ = 399200256. Its totient is φ = 293760000.

The previous prime is 344099981. The next prime is 344100047. The reversal of 344100031 is 130001443.

It is a cyclic number.

It is not a de Polignac number, because 344100031 - 223 = 335711423 is a prime.

It is a super-2 number, since 2×3441000312 = 236809662668401922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344099978 and 344100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344101031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3340726 + ... + 3340828.

It is an arithmetic number, because the mean of its divisors is an integer number (12475008).

Almost surely, 2344100031 is an apocalyptic number.

344100031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

344100031 is a deficient number, since it is larger than the sum of its proper divisors (55100225).

344100031 is a wasteful number, since it uses less digits than its factorization.

344100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 344100031 is about 18549.9334500154. The cubic root of 344100031 is about 700.7475218541.

Adding to 344100031 its reverse (130001443), we get a palindrome (474101474).

The spelling of 344100031 in words is "three hundred forty-four million, one hundred thousand, thirty-one".

Divisors: 1 11 31 97 101 103 341 1067 1111 1133 3007 3131 3193 9797 9991 10403 33077 34441 35123 107767 109901 114433 303707 309721 322493 1009091 3340777 3406931 3547423 11100001 31281821 344100031